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Author ID: yan.zhenya Recent zbMATH articles by "Yan, Zhenya"
Published as: Yan, Zhenya; Yan, Zhen-Ya; Yan, Zhen Ya; Yan, Zhen-ya; Yan, Z.; Yan, Zhengya
External Links: ORCID · Google Scholar · dblp
all top 5

Serials

29 Chaos, Solitons and Fractals
26 Physics Letters. A
19 Communications in Theoretical Physics
17 Chaos
16 Physica D
10 Communications in Nonlinear Science and Numerical Simulation
9 Applied Mathematics and Mechanics. (English Edition)
9 Applied Mathematics Letters
7 Applied Mathematics and Computation
6 Computer Physics Communications
6 Journal of Mathematical Physics
5 Computers & Mathematics with Applications
5 Acta Physica Sinica
5 Journal of Physics A: Mathematical and General
4 Journal of Mathematical Analysis and Applications
4 Mathematica Applicata
4 International Journal of Modern Physics C
4 Journal of Yantai University. Natural Science and Engineering
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Monatshefte für Mathematik
3 Nonlinear Dynamics
3 Physica Scripta
2 Wave Motion
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Journal of Dalian University of Technology
2 Journal of Nonlinear Science
2 Journal of the Physical Society of Japan
1 IMA Journal of Applied Mathematics
1 Physica A
1 Theoretical and Mathematical Physics
1 Studies in Applied Mathematics
1 Journal of Mathematical Research & Exposition
1 Journal of Lanzhou University. Natural Sciences
1 Acta Scientiarum Naturalium Universitatis Jilinensis
1 Journal of Systems Science and Mathematical Sciences
1 European Journal of Applied Mathematics
1 Annals of Physics
1 Journal of Dynamics and Differential Equations
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Applied Mathematics. Series B (English Edition)
1 Pure and Applied Mathematics
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Mathematical Physics, Analysis and Geometry
1 Differentsial’nye Uravneniya i Protsessy Upravleniya
1 Journal of Systems Science and Complexity
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Journal of Physics A: Mathematical and Theoretical

Publications by Year

Citations contained in zbMATH Open

190 Publications have been cited 2,413 times in 1,539 Documents Cited by Year
New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water. Zbl 0969.76518
Yan, Z.; Zhang, H.
93
2001
New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations. Zbl 1092.35524
Yan, Zhenya
88
2001
Financial rogue waves. Zbl 1219.91143
Yan, Zhen-Ya
87
2010
Vector financial rogue waves. Zbl 1254.91190
Yan, Zhenya
82
2011
Abundant families of Jacobi elliptic function solutions of the \((2+1)\)-dimensional integrable Davey-Stewartson-type equation via a new method. Zbl 1069.37060
Yan, Zhenya
75
2003
Controlling hyperchaos in the new hyperchaotic Chen system. Zbl 1160.93384
Yan, Zhenya
64
2005
Integrable \(\mathcal{PT}\)-symmetric local and nonlocal vector nonlinear Schrödinger equations: a unified two-parameter model. Zbl 1322.35132
Yan, Zhenya
59
2015
New explicit and exact travelling wave solutions for a system of variant Boussinesq equations in mathematical physics. Zbl 0938.35130
Yan, Zhenya; Zhang, Hongqing
55
1999
Nonautonomous “rogons” in the inhomogeneous nonlinear Schrödinger equation with variable coefficients. Zbl 1235.35266
Yan, Zhenya
46
2010
Generalized method and its application in the higher-order nonlinear Schrödinger equation in nonlinear optical fibres. Zbl 1035.78006
Yan, Zhenya
44
2003
Symbolic computation and new families of exact soliton-like solutions to the integrable Broer-Kaup (BK) equations in \((2+1)\)-dimensional spaces. Zbl 0970.35147
Yan, Zhen-ya; Zhang, Hong-qing
41
2001
Explicit and exact traveling wave solutions of Whitham-Broer-Kaup shallow water equations. Zbl 0969.76517
Xie, F.; Yan, Z.; Zhang, H.
40
2001
Q-S (lag or anticipated) synchronization backstepping scheme in a class of continuous-time hyperchaotic systems – a symbolic-numeric computation approach. Zbl 1080.93008
Yan, Zhenya
37
2005
Modulational instability and higher-order rogue waves with parameters modulation in a coupled integrable AB system via the generalized Darboux transformation. Zbl 1374.37092
Wen, Xiao-Yong; Yan, Zhenya
37
2015
New explicit solitary wave solutions for \((2+1)\)-dimensional Boussinesq equation and \((3+1)\)-dimensional KP equation. Zbl 1006.35083
Chen, Yong; Yan, Zhenya; Zhang, Honging
36
2003
Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions. Zbl 1453.37069
Zhang, Guoqiang; Yan, Zhenya
34
2020
An improved algebra method and its applications in nonlinear wave equations. Zbl 1046.35103
Yan, Zhenya
32
2004
An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a \(4 \times 4\) Lax pair on the half-line. Zbl 1394.35486
Yan, Zhenya
31
2017
Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrödinger equation. Zbl 1374.35392
Yang, Yunqing; Yan, Zhenya; Malomed, Boris A.
30
2015
Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: exact solutions and stability. Zbl 1378.35284
Wen, Xiao-Yong; Yan, Zhenya; Malomed, Boris A.
30
2016
New families of solitons with compact support for Boussinesq-like \(B(m,n)\) equations with fully nonlinear dispersion. Zbl 1038.35082
Yan, Zhenya
29
2002
The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations. Zbl 1142.35603
Chen, Yong; Yan, Zhenya
28
2006
The derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions: inverse scattering transforms and \(N\)-double-pole solutions. Zbl 1462.35372
Zhang, Guoqiang; Yan, Zhenya
26
2020
New families of nontravelling wave solutions to a new (3+1)-dimensional potential-YTSF equation. Zbl 1045.35072
Yan, Zhenya
25
2003
Three-component nonlinear Schrödinger equations: modulational instability, \(N\)th-order vector rational and semi-rational rogue waves, and dynamics. Zbl 1470.35343
Zhang, Guoqiang; Yan, Zhenya
25
2018
The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves. Zbl 1428.37063
Chen, Shuyan; Yan, Zhenya
25
2019
Nonlocal general vector nonlinear Schrödinger equations: integrability, \(\mathcal{PT}\) symmetribility, and solutions. Zbl 1351.35197
Yan, Zhenya
24
2016
New compacton soliton solutions and solitary patterns solutions of nonlinearly dispersive Boussinesq equations. Zbl 1196.68338
Yan, Zhenya; Bluman, George
23
2002
Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrödinger equation with a potential using the PINN deep learning. Zbl 07409914
Wang, Li; Yan, Zhenya
23
2021
The extended Jacobian elliptic function expansion method and its application in the generalized Hirota-Satsuma coupled KdV system. Zbl 1037.35074
Yan, Zhenya
21
2003
Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrödinger equation via the determinants. Zbl 1375.35511
Zhang, Guoqiang; Yan, Zhenya; Chen, Yong
21
2017
Q-S synchronization in 3D Hénon-like map and generalized Hénon map via a scalar controller. Zbl 1222.37093
Yan, Zhenya
20
2005
New exact solutions of \((2+1)\)-dimensional Gardner equation via the new sine-Gordon equation expansion method. Zbl 1070.35058
Chen, Yong; Yan, Zhenya
20
2005
The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures. Zbl 1472.78020
Zhang, Guoqiang; Yan, Zhenya; Wang, Li
20
2019
Focusing and defocusing Hirota equations with non-zero boundary conditions: inverse scattering transforms and soliton solutions. Zbl 1450.35297
Zhang, Guoqiang; Chen, Shuyan; Yan, Zhenya
20
2020
Periodic, solitary and rational wave solutions of the 3D extended quantum Zakharov-Kuznetsov equation in dense quantum plasmas. Zbl 1231.76362
Yan, Zhenya
19
2009
Three-wave resonant interactions: multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics. Zbl 1381.35014
Zhang, Guoqiang; Yan, Zhenya; Wen, Xiao-Yong
19
2018
Nonclassical potential solutions of partial differential equations. Zbl 1084.35005
Bluman, George W.; Yan, Zhenya
19
2005
Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations. Zbl 1404.35424
Zhang, Guoqiang; Yan, Zhenya; Wen, Xiao-Yong
19
2017
Focusing and defocusing mKdV equations with nonzero boundary conditions: inverse scattering transforms and soliton interactions. Zbl 1492.35292
Zhang, Guoqiang; Yan, Zhenya
19
2020
Symmetry groups and exact solutions of new \((4+1)\)-dimensional Fokas equation. Zbl 1177.35210
Yang, Zheng-Zheng; Yan, Zhen-Ya
18
2009
Chaos Q-S synchronization between Rössler system and the new unified chaotic system. Zbl 1123.37312
Yan, Zhenya
18
2005
Exact stationary wave patterns in three coupled nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1198.35263
Yan, Zhenya; Chow, K. W.; Malomed, Boris A.
18
2009
Multi-component nonlinear Schrödinger equations with nonzero boundary conditions: higher-order vector Peregrine solitons and asymptotic estimates. Zbl 1476.35252
Zhang, Guoqiang; Ling, Liming; Yan, Zhenya
18
2021
The \(n\)-component nonlinear Schrödinger equations: dark-bright mixed \(N\)- and high-order solitons and breathers, and dynamics. Zbl 1404.35375
Zhang, Guoqiang; Yan, Zhenya
18
2018
Extended Jacobian elliptic function algorithm with symbolic computation to construct new doubly-periodic solutions of nonlinear differential equations. Zbl 1196.33017
Yan, Zhenya
17
2002
Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation. Zbl 1414.35212
Wen, Xiao-Yong; Yan, Zhenya
17
2018
Solitons and their stability in the nonlocal nonlinear Schrödinger equation with \(\mathcal{P} \mathcal{T}\)-symmetric potentials. Zbl 1390.35343
Wen, Zichao; Yan, Zhenya
16
2017
The new tri-function method to multiple exact solutions of nonlinear wave equations. Zbl 1155.35427
Yan, Zhenya
16
2008
Higher-order rational solitons and rogue-like wave solutions of the \((2+1)\)-dimensional nonlinear fluid mechanics equations. Zbl 1465.76022
Wen, Xiao-Yong; Yan, Zhenya
15
2017
The new constructive algorithm and symbolic computation applied to exact solutions of nonlinear wave equations. Zbl 1123.35348
Yan, Zhenya
14
2004
Envelope compact and solitary pattern structures for the \(\text{GNLS}(m,n,p,q)\) equations. Zbl 1236.35176
Yan, Zhenya
14
2006
Data-driven peakon and periodic peakon solutions and parameter discovery of some nonlinear dispersive equations via deep learning. Zbl 1484.35134
Wang, Li; Yan, Zhenya
14
2021
Multi-dark-dark solitons of the integrable repulsive AB system via the determinants. Zbl 1388.37077
Zhang, Guoqiang; Yan, Zhenya; Wen, Xiao-Yong
13
2017
Weierstrass semi-rational expansion method and new doubly periodic solutions of the generalized Hirota-Satsuma coupled KdV system. Zbl 1094.65104
Chen, Yong; Yan, Zhenya
13
2006
Q-S (complete or anticipated) synchronization backstepping scheme in a class of discrete-time chaotic (hyperchaotic) systems: A symbolic-numeric computation approach. Zbl 1144.37420
Yan, Zhenya
13
2006
The Riccati equation with variable coefficients expansion algorithm to find more exact solutions of nonlinear differential equations. Zbl 1196.35068
Yan, Zhenya
13
2003
Solving forward and inverse problems of the logarithmic nonlinear Schrödinger equation with \(\mathcal{PT}\)-symmetric harmonic potential via deep learning. Zbl 1472.81089
Zhou, Zijian; Yan, Zhenya
13
2021
Hyperchaos synchronization and control on a new hyperchaotic attractor. Zbl 1132.93042
Yan, Zhenya; Yu, Pei
12
2008
Linear feedback control, adaptive feedback control and their combination for chaos (lag) synchronization of LC chaotic systems. Zbl 1136.93430
Yan, Zhenya; Yu, Pei
12
2007
On stable solitons and interactions of the generalized Gross-Pitaevskii equation with \(\mathcal{P} \mathcal{T}\)- and non-\(\mathcal{P} \mathcal{T}\)-symmetric potentials. Zbl 1378.35286
Yan, Zhenya; Chen, Yong; Wen, Zichao
12
2016
Stable flat-top solitons and peakons in the \(\mathcal{PT}\)-symmetric \(\delta\)-signum potentials and nonlinear media. Zbl 1428.35496
Chen, Yong; Yan, Zhenya; Mihalache, Dumitru
12
2019
A new scheme to generalized (lag, anticipated, and complete) synchronization in chaotic and hyperchaotic systems. Zbl 1080.37040
Yan, Zhenya
11
2005
A new sine-Gordon equation expansion algorithm to investigate some special nonlinear differential equations. Zbl 1069.35077
Yan, Zhenya
11
2005
A nonlinear control scheme to anticipated and complete synchronization in discrete-time chaotic (hyperchaotic) systems. Zbl 1194.37065
Yan, Zhenya
11
2005
Rogue waves. Mathematical theory and applications in physics. Zbl 1378.76002
Guo, Boling; Tian, Lixin; Yan, Zhenya; Ling, Liming; Wang, Yu-Feng
11
2017
The higher-order nonlinear Schrödinger equation with non-zero boundary conditions: robust inverse scattering transform, breathers, and rogons. Zbl 1476.81033
Chen, Shuyan; Yan, Zhenya
11
2019
Inverse scattering and \(N\)-triple-pole soliton and breather solutions of the focusing nonlinear Schrödinger hierarchy with nonzero boundary conditions. Zbl 07411289
Weng, Weifang; Yan, Zhenya
11
2021
Initial-boundary value problem for the spin-1 Gross-Pitaevskii system with a \(4\times 4\) Lax pair on a finite interval. Zbl 1421.37029
Yan, Zhenya
11
2019
Nonautonomous discrete rogue wave solutions and interactions in an inhomogeneous lattice with varying coefficients. Zbl 1431.35147
Yan, Zhenya; Jiang, Dongmei
10
2012
Constructing families of soliton-like solutions to a \((2+1)\)-dimensional breaking soliton equation using symbolic computation. Zbl 1030.35141
Yan, Zhen-Ya; Zhang, Hong-Qing
10
2002
A transformation with symbolic computation and abundant new soliton-like solutions for the \((1+2)\)-dimensional generalized Burgers equation. Zbl 1040.35103
Yan, Zhenya
10
2002
Envelope exact solutions for the generalized nonlinear Schrödinger equation with a source. Zbl 1096.81008
Yan, Zhenya
10
2006
Localized analytical solutions and parameters analysis in the nonlinear dispersive Gross-Pitaevskii mean-field \(\mathrm{GP}(m,n)\) model with space-modulated nonlinearity and potential. Zbl 1288.35440
Yan, Zhenya
10
2014
Modified nonlinearly dispersive \(mK(m,n,k)\) equations: I. New compacton solutions and solitary pattern solutions. Zbl 1196.35192
Yan, Zhenya
10
2003
Rogon-like solutions excited in the two-dimensional nonlocal nonlinear Schrödinger equation. Zbl 1216.35147
Yan, Zhenya
9
2011
Three-component Gross-Pitaevskii equations in the spin-1 Bose-Einstein condensate: spin-rotation symmetry, matter-wave solutions, and dynamics. Zbl 1390.35342
Wen, Zichao; Yan, Zhenya
9
2017
A sinh-Gordon equation expansion method to construct doubly periodic solutions for nonlinear differential equations. Zbl 1048.35106
Yan, Zhenya
9
2003
Constructing exact solutions for two-dimensional nonlinear dispersion Boussinesq equation. II: Solitary pattern solutions. Zbl 1068.35148
Yan, Zhenya
9
2003
New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms. Zbl 1091.35084
Yan, Zhenya
9
2006
New rogue waves and dark-bright soliton solutions for a coupled nonlinear Schrödinger equation with variable coefficients. Zbl 1334.37086
Yu, Fajun; Yan, Zhenya
9
2014
Dynamical behaviors of optical solitons in parity-time (\(\mathcal{PT}\)) symmetric sextic anharmonic double-well potentials. Zbl 1364.35344
Wen, Zi-Chao; Yan, Zhenya
9
2015
A novel hierarchy of two-family-parameter equations: local, nonlocal, and mixed-local-nonlocal vector nonlinear Schrödinger equations. Zbl 1461.37073
Yan, Zhenya
9
2018
New exact solution structures and nonlinear dispersion in the coupled nonlinear wave systems. Zbl 1170.35088
Yan, Zhenya
8
2007
The nonlinear Schrödinger equation with generalized nonlinearities and \(\mathcal{P} \mathcal{T}\)-symmetric potentials: stable solitons, interactions, and excitations. Zbl 1390.35344
Yan, Zhenya; Chen, Yong
8
2017
Symmetry reductions and soliton-like solutions for the variable coefficient MKdV equations. Zbl 0942.35158
Yan, Zhenya
8
1999
A reduction mKdV method with symbolic computation to construct new doubly-periodic solutions for nonlinear wave equations. Zbl 1082.35518
Yan, Zhenya
8
2003
Some special types of solutions of a class of the \((N+1)\)-dimensional nonlinear wave equations. Zbl 1155.35444
Wang, Deng-Shan; Yan, Zhenya; Li, Hongbo
8
2008
Multiple solution profiles to the higher-dimensional Kadomtsev-Petviashvilli equations via Wronskian determinant. Zbl 1151.35421
Yan, Zhenya
8
2007
Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrödinger equation with varying higher-order even and odd terms. Zbl 1347.37120
Yang, Yunqing; Wang, Xin; Yan, Zhenya
8
2015
New explicit solitary wave solutions and periodic wave solutions for the generalized coupled Hirota-Satsuma KdV system. Zbl 1267.76015
Chen, Yong; Yan, Zhen-Ya; Li, Biao; Zhang, Hong-Qing
8
2002
Parity-time-symmetric rational vector rogue waves of the \(n\)-component nonlinear Schrödinger equation. Zbl 1465.35365
Zhang, Guoqiang; Ling, Liming; Yan, Zhenya; Konotop, Vladimir V.
8
2021
Globally exponential hyperchaos (LAG) synchronization in a family of modified hyperchaotic Rössler systems. Zbl 1139.93028
Yan, Zhenya; Yu, Pei
7
2007
Exact analytical solutions for the generalized non-integrable nonlinear Schrödinger equation with varying coefficients. Zbl 1238.35148
Yan, Zhenya
7
2010
Optical solitary wave solutions to nonlinear Schrödinger equation with cubic-quintic nonlinearity in non-Kerr media. Zbl 1065.81143
Yan, Zhenya
7
2004
Exact solutions for a family of variable-coefficient “reaction–Duffing” equations via the Bäcklund transformation. Zbl 1129.35432
Chen, Yong; Yan, Zhenya; Zhang, Hongqing
7
2002
Controlling temporal solitary waves in the generalized inhomogeneous coupled nonlinear Schrödinger equations with varying source terms. Zbl 1317.35246
Yang, Yunqing; Yan, Zhenya; Mihalache, Dumitru
7
2015
New integrable multi-Lévy-index and mixed fractional nonlinear soliton hierarchies. Zbl 1508.35205
Yan, Zhenya
7
2022
Semi-rational vector rogon-soliton solutions and asymptotic analysis for any \(n\)-component nonlinear Schrödinger equation with mixed boundary conditions. Zbl 1490.35459
Weng, Weifang; Zhang, Guoqiang; Zhang, Minghe; Zhou, Zijian; Yan, Zhenya
7
2022
Similarity transformations and exact solutions for a family of higher-dimensional generalized Boussinesq equations. Zbl 1170.35089
Yan, Zhenya
6
2007
Interactions of fractional \(N\)-solitons with anomalous dispersions for the integrable combined fractional higher-order mKdV hierarchy. Zbl 1506.35037
Zhang, Minghe; Weng, Weifang; Yan, Zhenya
3
2023
Deep learning soliton dynamics and complex potentials recognition for 1D and 2D \(\mathcal{PT}\)-symmetric saturable nonlinear Schrödinger equations. Zbl 07683358
Song, Jin; Yan, Zhenya
2
2023
The Cauchy problem and multi-peakons for the mCH-Novikov-CH equation with quadratic and cubic nonlinearities. Zbl 07781541
Qin, Guoquan; Yan, Zhenya; Guo, Boling
1
2023
Deep learning data-driven multi-soliton dynamics and parameters discovery for the fifth-order Kaup-Kuperschmidt equation. Zbl 07736392
Wang, Xiaoli; Wu, Zekang; Han, Wenjing; Yan, Zhenya
1
2023
Soliton formation and dynamics in the quintic nonlinear media with \(\mathcal{PT}\)-invariant harmonic-Gaussian potential. Zbl 1518.81066
Li, Xin; Wang, Li; Yan, Zhenya
1
2023
Stable matter-wave solitons, interactions, and excitations in the spinor \(F=1\) Bose-Einstein condensates with \(\mathcal{PT}\)- and non-\(\mathcal{PT}\)-symmetric potentials. Zbl 1518.81134
Zhong, Ming; Yan, Zhenya; Tian, Shou-Fu
1
2023
Wave-breaking analysis and weak multi-peakon solutions for a generalized cubic-quintic Camassa-Holm type equation. Zbl 1510.35034
Weng, Weifang; Qiao, Zhijun; Yan, Zhenya
1
2023
New integrable multi-Lévy-index and mixed fractional nonlinear soliton hierarchies. Zbl 1508.35205
Yan, Zhenya
7
2022
Semi-rational vector rogon-soliton solutions and asymptotic analysis for any \(n\)-component nonlinear Schrödinger equation with mixed boundary conditions. Zbl 1490.35459
Weng, Weifang; Zhang, Guoqiang; Zhang, Minghe; Zhou, Zijian; Yan, Zhenya
7
2022
Data-driven rogue waves and parameters discovery in nearly integrable \(\mathcal{PT}\)-symmetric Gross-Pitaevskii equations via PINNs deep learning. Zbl 1496.35373
Zhong, Ming; Gong, Shibo; Tian, Shou-Fu; Yan, Zhenya
6
2022
Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds. Zbl 1479.35216
Weng, Weifang; Zhang, Guoqiang; Zhou, Zijian; Yan, Zhenya
3
2022
Orbital stability of peakon solutions for a generalized higher-order Camassa-Holm equation. Zbl 1487.35061
Qin, Guoquan; Yan, Zhenya; Guo, Boling
3
2022
\(\mathcal{PT}\)-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: stability, interactions and adiabatic excitations. Zbl 1490.35453
Song, Jin; Zhou, Zijian; Weng, Weifang; Yan, Zhenya
2
2022
The Cauchy problem and wave-breaking phenomenon for a generalized sine-type FORQ/mCH equation. Zbl 1491.35069
Qin, Guoquan; Yan, Zhenya; Guo, Boling
2
2022
Dynamics of 1D and 3D quantum droplets in parity-time-symmetric harmonic-Gaussian potentials with two competing nonlinearities. Zbl 1516.81207
Song, Jin; Yan, Zhenya
2
2022
Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator. Zbl 1507.37118
Zhong, Ming; Yan, Zhenya
2
2022
Data-driven discoveries of Bäcklund transformations and soliton evolution equations via deep neural network learning schemes. Zbl 07600402
Zhou, Zijian; Wang, Li; Yan, Zhenya
2
2022
Higher-dimensional soliton generation, stability and excitations of the \(\mathcal{PT}\)-symmetric nonlinear Schrödinger equations. Zbl 1490.35401
Chen, Yong; Yan, Zhenya; Malomed, Boris A.
2
2022
A sine-type Camassa-Holm equation: local well-posedness, Hölder continuity, and wave-breaking analysis. Zbl 1500.35098
Qin, Guoquan; Yan, Zhenya; Guo, Boling
1
2022
\(N\)-(soliton, breather) interactions for general multi-component third-fifth-order mKdV equations via Riemann-Hilbert method. Zbl 1524.35568
Zhang, Minghe; Weng, Weifang; Yan, Zhenya
1
2022
Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrödinger equation with a potential using the PINN deep learning. Zbl 07409914
Wang, Li; Yan, Zhenya
23
2021
Multi-component nonlinear Schrödinger equations with nonzero boundary conditions: higher-order vector Peregrine solitons and asymptotic estimates. Zbl 1476.35252
Zhang, Guoqiang; Ling, Liming; Yan, Zhenya
18
2021
Data-driven peakon and periodic peakon solutions and parameter discovery of some nonlinear dispersive equations via deep learning. Zbl 1484.35134
Wang, Li; Yan, Zhenya
14
2021
Solving forward and inverse problems of the logarithmic nonlinear Schrödinger equation with \(\mathcal{PT}\)-symmetric harmonic potential via deep learning. Zbl 1472.81089
Zhou, Zijian; Yan, Zhenya
13
2021
Inverse scattering and \(N\)-triple-pole soliton and breather solutions of the focusing nonlinear Schrödinger hierarchy with nonzero boundary conditions. Zbl 07411289
Weng, Weifang; Yan, Zhenya
11
2021
Parity-time-symmetric rational vector rogue waves of the \(n\)-component nonlinear Schrödinger equation. Zbl 1465.35365
Zhang, Guoqiang; Ling, Liming; Yan, Zhenya; Konotop, Vladimir V.
8
2021
Rational vector rogue waves for the \(n\)-component Hirota equation with non-zero backgrounds. Zbl 1483.78005
Weng, Weifang; Zhang, Guoqiang; Wang, Li; Zhang, Minghe; Yan, Zhenya
6
2021
Deep learning neural networks for the third-order nonlinear Schrödinger equation: bright solitons, breathers, and rogue waves. Zbl 1514.35421
Zhou, Zijian; Yan, Zhenya
6
2021
Long-time asymptotics of solutions for the coupled dispersive AB system with initial value problems. Zbl 1462.35229
Chen, Shuyan; Yan, Zhenya
6
2021
Rogue wave formation and interactions in the defocusing nonlinear Schrödinger equation with external potentials. Zbl 1451.35201
Wang, Li; Yan, Zhenya
5
2021
Long-time asymptotics for the focusing Hirota equation with non-zero boundary conditions at infinity via the Deift-Zhou approach. Zbl 1477.35110
Chen, Shuyan; Yan, Zhenya; Guo, Boling
3
2021
An initial-boundary value problem for the general three-component nonlinear Schrödinger equations on a finite interval. Zbl 1477.35248
Yan, Zhenya
3
2021
Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions. Zbl 1453.37069
Zhang, Guoqiang; Yan, Zhenya
34
2020
The derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions: inverse scattering transforms and \(N\)-double-pole solutions. Zbl 1462.35372
Zhang, Guoqiang; Yan, Zhenya
26
2020
Focusing and defocusing Hirota equations with non-zero boundary conditions: inverse scattering transforms and soliton solutions. Zbl 1450.35297
Zhang, Guoqiang; Chen, Shuyan; Yan, Zhenya
20
2020
Focusing and defocusing mKdV equations with nonzero boundary conditions: inverse scattering transforms and soliton interactions. Zbl 1492.35292
Zhang, Guoqiang; Yan, Zhenya
19
2020
Numerical analysis of the Hirota equation: modulational instability, breathers, rogue waves, and interactions. Zbl 1435.35369
Wang, Li; Yan, Zhenya; Guo, Boling
4
2020
Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours. Zbl 1472.78029
Wen, Xiao-Yong; Yan, Zhenya; Zhang, Guoqiang
3
2020
The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves. Zbl 1428.37063
Chen, Shuyan; Yan, Zhenya
25
2019
The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures. Zbl 1472.78020
Zhang, Guoqiang; Yan, Zhenya; Wang, Li
20
2019
Stable flat-top solitons and peakons in the \(\mathcal{PT}\)-symmetric \(\delta\)-signum potentials and nonlinear media. Zbl 1428.35496
Chen, Yong; Yan, Zhenya; Mihalache, Dumitru
12
2019
The higher-order nonlinear Schrödinger equation with non-zero boundary conditions: robust inverse scattering transform, breathers, and rogons. Zbl 1476.81033
Chen, Shuyan; Yan, Zhenya
11
2019
Initial-boundary value problem for the spin-1 Gross-Pitaevskii system with a \(4\times 4\) Lax pair on a finite interval. Zbl 1421.37029
Yan, Zhenya
11
2019
The NLS\((n,n)\) equation: multi-hump compactons and their stability and interaction scenarios. Zbl 1448.35486
Yan, Zhenya
2
2019
Three-component nonlinear Schrödinger equations: modulational instability, \(N\)th-order vector rational and semi-rational rogue waves, and dynamics. Zbl 1470.35343
Zhang, Guoqiang; Yan, Zhenya
25
2018
Three-wave resonant interactions: multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics. Zbl 1381.35014
Zhang, Guoqiang; Yan, Zhenya; Wen, Xiao-Yong
19
2018
The \(n\)-component nonlinear Schrödinger equations: dark-bright mixed \(N\)- and high-order solitons and breathers, and dynamics. Zbl 1404.35375
Zhang, Guoqiang; Yan, Zhenya
18
2018
Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation. Zbl 1414.35212
Wen, Xiao-Yong; Yan, Zhenya
17
2018
A novel hierarchy of two-family-parameter equations: local, nonlocal, and mixed-local-nonlocal vector nonlinear Schrödinger equations. Zbl 1461.37073
Yan, Zhenya
9
2018
Effect of \(\mathcal{P} \mathcal{T}\) symmetry on nonlinear waves for three-wave interaction models in the quadratic nonlinear media. Zbl 1390.35349
Shen, Yujia; Wen, Zichao; Yan, Zhenya; Hang, Chao
5
2018
Multi-dimensional stable fundamental solitons and excitations in \(\mathcal{PT}\)-symmetric harmonic-Gaussian potentials with unbounded gain-and-loss distributions. Zbl 1510.82006
Chen, Yong; Yan, Zhenya
4
2018
One- and two-dimensional gap solitons and dynamics in the \(\mathcal{PT}\)-symmetric lattice potential and spatially-periodic momentum modulation. Zbl 1510.35293
Chen, Yong; Yan, Zhenya; Li, Xin
2
2018
An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a \(4 \times 4\) Lax pair on the half-line. Zbl 1394.35486
Yan, Zhenya
31
2017
Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrödinger equation via the determinants. Zbl 1375.35511
Zhang, Guoqiang; Yan, Zhenya; Chen, Yong
21
2017
Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations. Zbl 1404.35424
Zhang, Guoqiang; Yan, Zhenya; Wen, Xiao-Yong
19
2017
Solitons and their stability in the nonlocal nonlinear Schrödinger equation with \(\mathcal{P} \mathcal{T}\)-symmetric potentials. Zbl 1390.35343
Wen, Zichao; Yan, Zhenya
16
2017
Higher-order rational solitons and rogue-like wave solutions of the \((2+1)\)-dimensional nonlinear fluid mechanics equations. Zbl 1465.76022
Wen, Xiao-Yong; Yan, Zhenya
15
2017
Multi-dark-dark solitons of the integrable repulsive AB system via the determinants. Zbl 1388.37077
Zhang, Guoqiang; Yan, Zhenya; Wen, Xiao-Yong
13
2017
Rogue waves. Mathematical theory and applications in physics. Zbl 1378.76002
Guo, Boling; Tian, Lixin; Yan, Zhenya; Ling, Liming; Wang, Yu-Feng
11
2017
Three-component Gross-Pitaevskii equations in the spin-1 Bose-Einstein condensate: spin-rotation symmetry, matter-wave solutions, and dynamics. Zbl 1390.35342
Wen, Zichao; Yan, Zhenya
9
2017
The nonlinear Schrödinger equation with generalized nonlinearities and \(\mathcal{P} \mathcal{T}\)-symmetric potentials: stable solitons, interactions, and excitations. Zbl 1390.35344
Yan, Zhenya; Chen, Yong
8
2017
Stability, integrability, and nonlinear dynamics of \(\mathcal{P} T\)-symmetric optical couplers with cubic cross-interactions or cubic-quintic nonlinearities. Zbl 1403.34040
Li, Xin; Yan, Zhenya
2
2017
Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: exact solutions and stability. Zbl 1378.35284
Wen, Xiao-Yong; Yan, Zhenya; Malomed, Boris A.
30
2016
Nonlocal general vector nonlinear Schrödinger equations: integrability, \(\mathcal{PT}\) symmetribility, and solutions. Zbl 1351.35197
Yan, Zhenya
24
2016
On stable solitons and interactions of the generalized Gross-Pitaevskii equation with \(\mathcal{P} \mathcal{T}\)- and non-\(\mathcal{P} \mathcal{T}\)-symmetric potentials. Zbl 1378.35286
Yan, Zhenya; Chen, Yong; Wen, Zichao
12
2016
Integrable \(\mathcal{PT}\)-symmetric local and nonlocal vector nonlinear Schrödinger equations: a unified two-parameter model. Zbl 1322.35132
Yan, Zhenya
59
2015
Modulational instability and higher-order rogue waves with parameters modulation in a coupled integrable AB system via the generalized Darboux transformation. Zbl 1374.37092
Wen, Xiao-Yong; Yan, Zhenya
37
2015
Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrödinger equation. Zbl 1374.35392
Yang, Yunqing; Yan, Zhenya; Malomed, Boris A.
30
2015
Dynamical behaviors of optical solitons in parity-time (\(\mathcal{PT}\)) symmetric sextic anharmonic double-well potentials. Zbl 1364.35344
Wen, Zi-Chao; Yan, Zhenya
9
2015
Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrödinger equation with varying higher-order even and odd terms. Zbl 1347.37120
Yang, Yunqing; Wang, Xin; Yan, Zhenya
8
2015
Controlling temporal solitary waves in the generalized inhomogeneous coupled nonlinear Schrödinger equations with varying source terms. Zbl 1317.35246
Yang, Yunqing; Yan, Zhenya; Mihalache, Dumitru
7
2015
Novel wave structures in the two-dimensional cubic-quintic nonlinear Schrödinger equation with space-modulated potential and nonlinearities. Zbl 1348.35250
Yan, Zhenya
3
2015
Hopf bifurcation in a new four-dimensional hyperchaotic system. Zbl 1321.34057
Li, Xin; Yan, Zhen-Ya
2
2015
Parameters controlling matter waves in the one-dimensional generalized Gross-Pitaevskii equation with the varying potential and source. Zbl 1382.35281
Yan, Zhenya
2
2015
Localized analytical solutions and parameters analysis in the nonlinear dispersive Gross-Pitaevskii mean-field \(\mathrm{GP}(m,n)\) model with space-modulated nonlinearity and potential. Zbl 1288.35440
Yan, Zhenya
10
2014
New rogue waves and dark-bright soliton solutions for a coupled nonlinear Schrödinger equation with variable coefficients. Zbl 1334.37086
Yu, Fajun; Yan, Zhenya
9
2014
Nonautonomous discrete rogue wave solutions and interactions in an inhomogeneous lattice with varying coefficients. Zbl 1431.35147
Yan, Zhenya; Jiang, Dongmei
10
2012
Complex \(\mathcal{PT}\)-symmetric extensions of the nonlinear ultra-short light pulse model. Zbl 1263.81328
Yan, Zhenya
2
2012
Vector financial rogue waves. Zbl 1254.91190
Yan, Zhenya
82
2011
Rogon-like solutions excited in the two-dimensional nonlocal nonlinear Schrödinger equation. Zbl 1216.35147
Yan, Zhenya
9
2011
Exact solutions of nonlinear dispersive \(K(m, n)\) model with variable coefficients. Zbl 1219.35268
Yan, Zhenya
1
2011
Financial rogue waves. Zbl 1219.91143
Yan, Zhen-Ya
87
2010
Nonautonomous “rogons” in the inhomogeneous nonlinear Schrödinger equation with variable coefficients. Zbl 1235.35266
Yan, Zhenya
46
2010
Exact analytical solutions for the generalized non-integrable nonlinear Schrödinger equation with varying coefficients. Zbl 1238.35148
Yan, Zhenya
7
2010
Periodic, solitary and rational wave solutions of the 3D extended quantum Zakharov-Kuznetsov equation in dense quantum plasmas. Zbl 1231.76362
Yan, Zhenya
19
2009
Symmetry groups and exact solutions of new \((4+1)\)-dimensional Fokas equation. Zbl 1177.35210
Yang, Zheng-Zheng; Yan, Zhen-Ya
18
2009
Exact stationary wave patterns in three coupled nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1198.35263
Yan, Zhenya; Chow, K. W.; Malomed, Boris A.
18
2009
New exact solution profiles of the nonlinear dispersion Drinfel’d-Sokolov \((D(m, n))\) system. Zbl 1197.35252
Xie, Fuding; Yan, Zhenya
5
2009
Envelope solution profiles of the discrete nonlinear Schrödinger equation with a saturable nonlinearity. Zbl 1170.35540
Yan, Zhenya
3
2009
The new tri-function method to multiple exact solutions of nonlinear wave equations. Zbl 1155.35427
Yan, Zhenya
16
2008
Hyperchaos synchronization and control on a new hyperchaotic attractor. Zbl 1132.93042
Yan, Zhenya; Yu, Pei
12
2008
Some special types of solutions of a class of the \((N+1)\)-dimensional nonlinear wave equations. Zbl 1155.35444
Wang, Deng-Shan; Yan, Zhenya; Li, Hongbo
8
2008
New binary travelling-wave periodic solutions for the modified KdV equation. Zbl 1217.35168
Yan, Zhenya
5
2008
Compactons and noncompactons to three-dimensional Kadomtsev-Petviashvili equation with nonlinear dispersion. Zbl 1136.35084
Xie, Fuding; Yan, Zhenya
4
2008
The modified KdV equation with variable coefficients: Exact uni/bi-variable travelling wave-like solutions. Zbl 1159.35403
Yan, Zhenya
4
2008
Chaos control in a new three-dimensional chaotic T system. Zbl 1392.93011
Chen, Yong; Yan, Zhen-Ya
3
2008
Exactly fractional solutions of the \((2+1)\)-dimensional modified KP equation via some fractional transformations. Zbl 1132.35468
Xie, Fuding; Yan, Zhenya
2
2008
Linear feedback control, adaptive feedback control and their combination for chaos (lag) synchronization of LC chaotic systems. Zbl 1136.93430
Yan, Zhenya; Yu, Pei
12
2007
New exact solution structures and nonlinear dispersion in the coupled nonlinear wave systems. Zbl 1170.35088
Yan, Zhenya
8
2007
Multiple solution profiles to the higher-dimensional Kadomtsev-Petviashvilli equations via Wronskian determinant. Zbl 1151.35421
Yan, Zhenya
8
2007
...and 90 more Documents
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Cited by 1,915 Authors

93 Yan, Zhenya
55 Chen, Yong
42 Tian, Shoufu
42 Zhang, Hongqing
36 Tian, Bo
27 Wen, Xiaoyong
26 Khalique, Chaudry Masood
24 He, Jingsong
21 Wang, Xiubin
19 Gao, Yitian
17 Li, Biao
17 Zayed, Elsayed M. E.
17 Zhang, Tiantian
16 Biswas, Anjan
16 Dai, Zhengde
16 Xu, Tao
16 Zhang, Guoqiang
16 Zhang, Yi
15 Geng, Xianguo
15 Inc, Mustafa
15 Mihalache, Dumitru
13 Bekir, Ahmet
13 Ma, Wen-Xiu
13 Seadawy, Aly R.
13 Shang, Yadong
13 Tian, Lixin
13 Yu, Fajun
12 Dai, Chaoqing
12 Hu, Beibei
12 Wazwaz, Abdul-Majid Abdul-Rahman
12 Yang, Jinjie
12 Zhang, Sheng
12 Zhou, Zijian
11 Fan, Engui
11 Meng, Xianghua
11 Song, Lina
11 Wang, Lei
11 Wang, Xingyuan
10 An, Hongli
10 Gepreel, Khaled A.
10 Ling, Liming
10 Peng, Weiqi
10 Rao, Jiguang
10 Wang, Qi
10 Weng, Weifang
10 Yu, Xin
10 Zhang, Ling
9 Belić, Milivoj R.
9 Dong, Huanhe
9 Ekici, Mehmet
9 Han, Bo
9 Liu, Nan
9 Ouannas, Adel
9 Wang, Dengshan
9 Wang, Li
9 Wang, Xin
9 Xu, Wei
9 Yang, Yunqing
9 Zhang, Xiaoen
8 Baskonus, Haci Mehmet
8 Cheng, Yi
8 Guo, Boling
8 Li, Zhiqiang
8 Liu, Wenjun J.
8 Xue, Bo
8 Yang, Bo
8 Ye, Rusuo
8 Zhang, Yufeng
7 Ali Akbar, M.
7 Chen, Junchao
7 Feng, Baofeng
7 Li, Yin
7 Li, Zhibin
7 Lü, Xing
7 Sun, Zhiyuan
7 Tang, Shengqiang
7 Tang, Yaning
6 Adeyemo, Oke Davies
6 Bulut, Hasan
6 Fan, Xinghua
6 Gao, Liang
6 Jiang, Yan
6 Li, Bangqing
6 Li, Jibin
6 Li, Ruomeng
6 Lou, Senyue
6 Lou, Yu
6 Ma, Yulan
6 Malomed, Boris A.
6 Salas, Alvaro H.
6 Vitanov, Nikolay K.
6 Wang, Mingjun
6 Wang, Yueyue
6 Wei, Long
6 Wu, Xiangjun
6 Xia, Tie-Cheng
6 Xie, Xi-Yang
6 Xu, Bo
6 Yong, Xuelin
6 Zhang, Jiefang
...and 1,815 more Authors
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Cited in 201 Serials

171 Applied Mathematics and Computation
103 Chaos, Solitons and Fractals
98 Nonlinear Dynamics
93 Communications in Nonlinear Science and Numerical Simulation
60 Applied Mathematics Letters
59 Physica D
51 Physics Letters. A
47 Communications in Theoretical Physics
41 Computers & Mathematics with Applications
41 Chaos
29 International Journal of Modern Physics B
29 Journal of Mathematical Physics
28 Abstract and Applied Analysis
27 Wave Motion
24 Mathematical Problems in Engineering
22 Advances in Mathematical Physics
19 Journal of Mathematical Analysis and Applications
19 Mathematical Methods in the Applied Sciences
19 Advances in Difference Equations
19 Waves in Random and Complex Media
18 International Journal of Computer Mathematics
17 Theoretical and Mathematical Physics
17 International Journal of Modern Physics C
16 Journal of Nonlinear Mathematical Physics
16 Journal of Applied Mathematics
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Nonlinear Analysis. Real World Applications
12 Studies in Applied Mathematics
11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
10 Complexity
10 Journal of Physics A: Mathematical and Theoretical
10 International Journal of Applied and Computational Mathematics
9 Physica A
9 Applied Mathematical Modelling
8 Reports on Mathematical Physics
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Discrete Dynamics in Nature and Society
7 Journal of Computational and Applied Mathematics
7 International Journal of Geometric Methods in Modern Physics
7 Chinese Journal of Physics (Taipei)
7 Journal of Function Spaces
6 International Journal of Theoretical Physics
6 Journal of Geometry and Physics
6 Journal of Differential Equations
6 Journal of the Egyptian Mathematical Society
6 International Journal of Nonlinear Sciences and Numerical Simulation
6 Analysis and Mathematical Physics
6 Journal of Applied Analysis and Computation
5 Applicable Analysis
5 Mathematics and Computers in Simulation
5 Applied Mathematics and Mechanics. (English Edition)
5 Mathematical and Computer Modelling
5 AIMS Mathematics
4 Modern Physics Letters B
4 Proceedings of the American Mathematical Society
4 Acta Applicandae Mathematicae
4 Journal of Nonlinear Science
4 Fractals
4 Qualitative Theory of Dynamical Systems
4 Discrete and Continuous Dynamical Systems. Series S
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Astrophysics and Space Science
3 Journal of the Franklin Institute
3 Chinese Annals of Mathematics. Series B
3 Numerical Methods for Partial Differential Equations
3 Applied Mathematics. Series B (English Edition)
3 International Journal of Numerical Methods for Heat & Fluid Flow
3 Boletim da Sociedade Paranaense de Matemática. Terceira Série
3 Boundary Value Problems
3 Journal of Nonlinear Science and Applications
3 Annalen der Physik
3 Computational Methods for Differential Equations
3 Cogent Mathematics
3 Applied Mathematics and Nonlinear Sciences
2 Indian Journal of Pure & Applied Mathematics
2 Journal of Computational Physics
2 Nonlinearity
2 Monatshefte für Mathematik
2 Quaestiones Mathematicae
2 Acta Mathematicae Applicatae Sinica. English Series
2 Computational Mathematics and Modeling
2 Computational and Applied Mathematics
2 Engineering Analysis with Boundary Elements
2 Journal of Applied Analysis
2 Differential Equations and Dynamical Systems
2 Mathematical Physics, Analysis and Geometry
2 Journal of Interdisciplinary Mathematics
2 Journal of High Energy Physics
2 Journal of Modern Optics
2 Nonlinear Analysis. Modelling and Control
2 Discrete and Continuous Dynamical Systems. Series B
2 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Entropy
2 Journal of Applied Mathematics and Computing
2 SIAM Journal on Applied Dynamical Systems
2 The European Physical Journal B. Condensed Matter and Complex Systems
2 Complex Analysis and Operator Theory
2 Frontiers of Mathematics in China
2 Mathematical Modelling of Natural Phenomena
...and 101 more Serials
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Cited in 49 Fields

1,238 Partial differential equations (35-XX)
529 Dynamical systems and ergodic theory (37-XX)
153 Ordinary differential equations (34-XX)
135 Fluid mechanics (76-XX)
127 Numerical analysis (65-XX)
101 Systems theory; control (93-XX)
94 Optics, electromagnetic theory (78-XX)
89 Computer science (68-XX)
79 Quantum theory (81-XX)
57 Statistical mechanics, structure of matter (82-XX)
31 Mechanics of particles and systems (70-XX)
29 Mechanics of deformable solids (74-XX)
21 Real functions (26-XX)
19 Special functions (33-XX)
16 Approximations and expansions (41-XX)
16 Integral equations (45-XX)
15 Difference and functional equations (39-XX)
15 Geophysics (86-XX)
12 Probability theory and stochastic processes (60-XX)
11 Relativity and gravitational theory (83-XX)
11 Biology and other natural sciences (92-XX)
11 Information and communication theory, circuits (94-XX)
9 Global analysis, analysis on manifolds (58-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Operator theory (47-XX)
7 Differential geometry (53-XX)
6 Algebraic geometry (14-XX)
5 Nonassociative rings and algebras (17-XX)
4 Astronomy and astrophysics (85-XX)
3 Topological groups, Lie groups (22-XX)
3 Functions of a complex variable (30-XX)
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1 Functional analysis (46-XX)
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