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## Yan, Zhenya

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 Author ID: yan.zhenya Published as: Yan, Zhenya; Yan, Zhen-Ya; Yan, Zhen Ya; Yan, Z.; Yan, Zhen-ya; Yan, Zhengya External Links: ORCID · Google Scholar · dblp
 Documents Indexed: 204 Publications since 1999, including 2 Books Reviewing Activity: 1 Review
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#### Co-Authors

 93 single-authored 44 Zhang, Hongqing 16 Chen, Yong 13 Zhang, Guoqiang 8 Wen, Xiaoyong 8 Xie, Fuding 5 Chen, Shuyan 5 Wen, Zichao 4 Yang, Yunqing 3 Guo, Boling 3 Ling, Liming 3 Malomed, Boris A. 3 Yu, Pei 2 Bluman, George W. 2 Chow, Kwok Wing 2 Mihalache, Dumitru 2 Xia, Tie-Cheng 1 Fan, Engui 1 Hang, Chao 1 Jiang, Dongmei 1 Konotop, Vladimir V. 1 Krishnan, Edamana Vasudevan 1 Lai, Derek W. C. 1 Li, Biao 1 Li, Hongbo 1 Rogers, Colin 1 Shen, Yujia 1 Tian, Lixin 1 Wang, Dengshan 1 Wang, Yufeng 1 Weng, Weifang 1 Yan, Fangchi 1 Yang, Yong 1 Yang, Zhengzheng 1 Yu, Fajun 1 Zhou, Zijian
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#### Serials

 27 Chaos, Solitons and Fractals 24 Physics Letters. A 17 Chaos 17 Communications in Theoretical Physics 9 Applied Mathematics and Mechanics. (English Edition) 9 Communications in Nonlinear Science and Numerical Simulation 7 Applied Mathematics and Computation 7 Applied Mathematics Letters 6 Computer Physics Communications 5 Journal of Mathematical Physics 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 Computers & Mathematics with Applications 3 Nonlinear Dynamics 3 Physica Scripta 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Physica D 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 ZAMP. Zeitschrift für angewandte Mathematik und Physik 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 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 1 Advances in Differential Equations and Control Processes
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#### Fields

 169 Partial differential equations (35-XX) 106 Dynamical systems and ergodic theory (37-XX) 20 Fluid mechanics (76-XX) 13 Quantum theory (81-XX) 12 Ordinary differential equations (34-XX) 12 Optics, electromagnetic theory (78-XX) 11 Computer science (68-XX) 8 Systems theory; control (93-XX) 7 Special functions (33-XX) 7 Numerical analysis (65-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of particles and systems (70-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

157 Publications have been cited 1,561 times in 1,043 Documents Cited by Year
New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations. Zbl 1092.35524
Yan, Zhenya
2001
New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water. Zbl 0969.76518
Yan, Z.; Zhang, H.
2001
Controlling hyperchaos in the new hyperchaotic Chen system. Zbl 1160.93384
Yan, Zhenya
2005
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
2003
New explicit and exact travelling wave solutions for a system of variant Boussinesq equations in mathematical physics. Zbl 0938.35130
Yan, Zhenya; Zhang, Hongqing
1999
Vector financial rogue waves. Zbl 1254.91190
Yan, Zhenya
2011
Financial rogue waves. Zbl 1219.91143
Yan, Zhen-Ya
2010
Generalized method and its application in the higher-order nonlinear Schrödinger equation in nonlinear optical fibres. Zbl 1035.78006
Yan, Zhenya
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
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
2005
Integrable $$\mathcal{PT}$$-symmetric local and nonlocal vector nonlinear Schrödinger equations: a unified two-parameter model. Zbl 1322.35132
Yan, Zhenya
2015
Explicit and exact traveling wave solutions of Whitham-Broer-Kaup shallow water equations. Zbl 0969.76517
Xie, F.; Yan, Z.; Zhang, H.
2001
Nonautonomous “rogons” in the inhomogeneous nonlinear Schrödinger equation with variable coefficients. Zbl 1235.35266
Yan, Zhenya
2010
An improved algebra method and its applications in nonlinear wave equations. Zbl 1046.35103
Yan, Zhenya
2004
New families of solitons with compact support for Boussinesq-like $$B(m,n)$$ equations with fully nonlinear dispersion. Zbl 1038.35082
Yan, Zhenya
2002
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
2003
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
2015
New compacton soliton solutions and solitary patterns solutions of nonlinearly dispersive Boussinesq equations. Zbl 1196.68338
Yan, Zhenya; Bluman, George
2002
The extended Jacobian elliptic function expansion method and its application in the generalized Hirota-Satsuma coupled KdV system. Zbl 1037.35074
Yan, Zhenya
2003
New families of nontravelling wave solutions to a new (3+1)-dimensional potential-YTSF equation. Zbl 1045.35072
Yan, Zhenya
2003
Q-S synchronization in 3D Hénon-like map and generalized Hénon map via a scalar controller. Zbl 1222.37093
Yan, Zhenya
2005
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.
2016
Chaos Q-S synchronization between Rössler system and the new unified chaotic system. Zbl 1123.37312
Yan, Zhenya
2005
The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations. Zbl 1142.35603
Chen, Yong; Yan, Zhenya
2006
Periodic, solitary and rational wave solutions of the 3D extended quantum Zakharov-Kuznetsov equation in dense quantum plasmas. Zbl 1231.76362
Yan, Zhenya
2009
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.
2015
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
2017
Extended Jacobian elliptic function algorithm with symbolic computation to construct new doubly-periodic solutions of nonlinear differential equations. Zbl 1196.33017
Yan, Zhenya
2002
The new constructive algorithm and symbolic computation applied to exact solutions of nonlinear wave equations. Zbl 1123.35348
Yan, Zhenya
2004
The new tri-function method to multiple exact solutions of nonlinear wave equations. Zbl 1155.35427
Yan, Zhenya
2008
Nonlocal general vector nonlinear Schrödinger equations: integrability, $$\mathcal{PT}$$ symmetribility, and solutions. Zbl 1351.35197
Yan, Zhenya
2016
The Riccati equation with variable coefficients expansion algorithm to find more exact solutions of nonlinear differential equations. Zbl 1196.35068
Yan, Zhenya
2003
Nonclassical potential solutions of partial differential equations. Zbl 1084.35005
Bluman, George W.; Yan, Zhenya
2005
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
2006
Hyperchaos synchronization and control on a new hyperchaotic attractor. Zbl 1132.93042
Yan, Zhenya; Yu, Pei
2008
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
2017
A new scheme to generalized (lag, anticipated, and complete) synchronization in chaotic and hyperchaotic systems. Zbl 1080.37040
Yan, Zhenya
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
2005
Linear feedback control, adaptive feedback control and their combination for chaos (lag) synchronization of LC chaotic systems. Zbl 1136.93430
Yan, Zhenya; Yu, Pei
2007
Symmetry groups and exact solutions of new $$(4+1)$$-dimensional Fokas equation. Zbl 1177.35210
Yang, Zheng-Zheng; Yan, Zhen-Ya
2009
A nonlinear control scheme to anticipated and complete synchronization in discrete-time chaotic (hyperchaotic) systems. Zbl 1194.37065
Yan, Zhenya
2005
Exact stationary wave patterns in three coupled nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1198.35263
Yan, Zhenya; Chow, K. W.; Malomed, Boris A.
2009
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
2006
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
2017
Modified nonlinearly dispersive $$mK(m,n,k)$$ equations: I. New compacton solutions and solitary pattern solutions. Zbl 1196.35192
Yan, Zhenya
2003
A transformation with symbolic computation and abundant new soliton-like solutions for the $$(1+2)$$-dimensional generalized Burgers equation. Zbl 1040.35103
Yan, Zhenya
2002
Constructing exact solutions for two-dimensional nonlinear dispersion Boussinesq equation. II: Solitary pattern solutions. Zbl 1068.35148
Yan, Zhenya
2003
Envelope compact and solitary pattern structures for the $$\text{GNLS}(m,n,p,q)$$ equations. Zbl 1236.35176
Yan, Zhenya
2006
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
2016
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
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
2018
New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms. Zbl 1091.35084
Yan, Zhenya
2006
A reduction mKdV method with symbolic computation to construct new doubly-periodic solutions for nonlinear wave equations. Zbl 1082.35518
Yan, Zhenya
2003
A new sine-Gordon equation expansion algorithm to investigate some special nonlinear differential equations. Zbl 1069.35077
Yan, Zhenya
2005
Solitons and their stability in the nonlocal nonlinear Schrödinger equation with $$\mathcal{P} \mathcal{T}$$-symmetric potentials. Zbl 1390.35343
Wen, Zichao; Yan, Zhenya
2017
Exact solutions for a family of variable-coefficient “reaction–Duffing” equations via the Bäcklund transformation. Zbl 1129.35432
Chen, Yong; Yan, Zhenya; Zhang, Hongqing
2002
Multiple solution profiles to the higher-dimensional Kadomtsev-Petviashvilli equations via Wronskian determinant. Zbl 1151.35421
Yan, Zhenya
2007
Rogon-like solutions excited in the two-dimensional nonlocal nonlinear Schrödinger equation. Zbl 1216.35147
Yan, Zhenya
2011
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
2020
The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves. Zbl 1428.37063
Chen, Shuyan; Yan, Zhenya
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
2018
Nonautonomous discrete rogue wave solutions and interactions in an inhomogeneous lattice with varying coefficients. Zbl 1431.35147
Yan, Zhenya; Jiang, Dongmei
2012
A sinh-Gordon equation expansion method to construct doubly periodic solutions for nonlinear differential equations. Zbl 1048.35106
Yan, Zhenya
2003
Envelope exact solutions for the generalized nonlinear Schrödinger equation with a source. Zbl 1096.81008
Yan, Zhenya
2006
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
2008
On a new algorithm of constructing solitary wave solutions for systems of nonlinear evolution in mathematical physics. Zbl 0962.35159
Yan, Zhenya; Zhang, Hongqing
2000
Symmetry reductions and soliton-like solutions for the variable coefficient MKdV equations. Zbl 0942.35158
Yan, Zhenya
1999
Discrete exact solutions of modified Volterra and Volterra lattice equations via the new discrete sine-Gordon expansion algorithm. Zbl 1113.37054
Yan, Zhenya
2006
New exact solution structures and nonlinear dispersion in the coupled nonlinear wave systems. Zbl 1170.35088
Yan, Zhenya
2007
Similarity transformations and exact solutions for a family of higher-dimensional generalized Boussinesq equations. Zbl 1170.35089
Yan, Zhenya
2007
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
2014
Optical solitary wave solutions to nonlinear Schrödinger equation with cubic-quintic nonlinearity in non-Kerr media. Zbl 1065.81143
Yan, Zhenya
2004
Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method. Zbl 1073.65106
Yan, Zhenya
2005
Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation. Zbl 1414.35212
Wen, Xiao-Yong; Yan, Zhenya
2018
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
2002
Globally exponential hyperchaos (LAG) synchronization in a family of modified hyperchaotic Rössler systems. Zbl 1139.93028
Yan, Zhenya; Yu, Pei
2007
Dynamical behaviors of optical solitons in parity-time ($$\mathcal{PT}$$) symmetric sextic anharmonic double-well potentials. Zbl 1364.35344
Wen, Zi-Chao; Yan, Zhenya
2015
Multi-dark-dark solitons of the integrable repulsive AB system via the determinants. Zbl 1388.37077
Zhang, Guoqiang; Yan, Zhenya; Wen, Xiao-Yong
2017
New exact solution profiles of the nonlinear dispersion Drinfel’d-Sokolov $$(D(m, n))$$ system. Zbl 1197.35252
Xie, Fuding; Yan, Zhenya
2009
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
2002
Exact analytical solutions for the generalized non-integrable nonlinear Schrödinger equation with varying coefficients. Zbl 1238.35148
Yan, Zhenya
2010
Numerical doubly periodic solution of the KdV equation with the initial condition via the decomposition method. Zbl 1082.65587
Yan, Zhenya
2005
New rogue waves and dark-bright soliton solutions for a coupled nonlinear Schrödinger equation with variable coefficients. Zbl 1334.37086
Yu, Fajun; Yan, Zhenya
2014
Symmetry reductions, integrability and solitary wave solutions to high-order modified Boussinesq equations with damping term. Zbl 1164.35505
Yan, Zhen-Ya; Xie, Fu-Ding; Zhang, Hong-Qing
2001
New similarity reductions and compacton solutions for Boussinesq-like equations with fully nonlinear dispersion. Zbl 1164.35485
Yan, Zhen-Ya
2001
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
2015
Similarity reductions for $$2+1$$-dimensional variable coefficient generalized Kadomtsev-Petviashvili equation. Zbl 0965.35153
Yan, Zhenya; Zhang, Hongqing
2000
The new extended Jacobian elliptic function expansion algorithm and its applications in nonlinear mathematical physics equations. Zbl 1196.35193
Yan, Zhenya
2003
Modified nonlinearly dispersive $$mK(m,n,k)$$ equations: II. Jacobi elliptic function solutions. Zbl 1196.35194
Yan, Zhenya
2003
New Liouville completely integrable hierarchy of generalized Burgers equations and its Hamiltonian structure. Zbl 1005.37041
Yan, Zhenya; Zhang, Hongqing
1999
Exact soliton solutions of variable coefficient KdV-MKdV equations with three arbitrary functions. Zbl 1202.35274
Yan, Zhen Ya; Zhang, Hong Qing
1999
Explicit exact solutions of nonlinear approximate equations for long waves in shallow water. Zbl 1202.76031
Yan, Zhen Ya; Zhang, Hong Qing
1999
New binary travelling-wave periodic solutions for the modified KdV equation. Zbl 1217.35168
Yan, Zhenya
2008
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
2020
Compactons and noncompactons to three-dimensional Kadomtsev-Petviashvili equation with nonlinear dispersion. Zbl 1136.35084
Xie, Fuding; Yan, Zhenya
2008
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
2017
Bäcklund transformation, non-local symmetry and exact solutions for $$(2+1)$$-dimensional variable coefficient generalized KP equations. Zbl 0962.37038
Yan, Zhenya
2000
Bäcklund transformation and exact solutions for $$(2+1)$$-dimensional Kolmogorov-Petrovsky-Piscounov equation. Zbl 0924.35135
Yan, Zhenya; Zhang, Hongqing
1999
New Jacobian elliptic function solutions to modified KdV equation. I. Zbl 1267.35209
Yan, Zhen-Ya
2002
Auto-Darboux transformation and exact solutions of the Brusselator reaction-diffusion model. Zbl 0989.92028
Yan, Zhenya; Zhang, Hongqing
2001
Rogue wave formation and interactions in the defocusing nonlinear Schrödinger equation with external potentials. Zbl 1451.35201
Wang, Li; Yan, Zhenya
2021
Long-time asymptotics for the focusing Hirota equation with non-zero boundary conditions at infinity via the Deift-Zhou approach. Zbl 07383077
Chen, Shuyan; Yan, Zhenya; Guo, Boling
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
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
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.
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
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
2020
Numerical analysis of the Hirota equation: modulational instability, breathers, rogue waves, and interactions. Zbl 1435.35369
Wang, Li; Yan, Zhenya; Guo, Boling
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
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
2020
The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves. Zbl 1428.37063
Chen, Shuyan; Yan, Zhenya
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
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
2019
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
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
2018
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
2018
Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation. Zbl 1414.35212
Wen, Xiao-Yong; Yan, Zhenya
2018
Multi-dimensional stable fundamental solitons and excitations in $$\mathcal{PT}$$-symmetric harmonic-Gaussian potentials with unbounded gain-and-loss distributions. Zbl 07263270
Chen, Yong; Yan, Zhenya
2018
A novel hierarchy of two-family-parameter equations: local, nonlocal, and mixed-local-nonlocal vector nonlinear Schrödinger equations. Zbl 1461.37073
Yan, Zhenya
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
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
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
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
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
2017
Multi-dark-dark solitons of the integrable repulsive AB system via the determinants. Zbl 1388.37077
Zhang, Guoqiang; Yan, Zhenya; Wen, Xiao-Yong
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
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
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
2017
Rogue waves. Mathematical theory and applications in physics. Zbl 1378.76002
Guo, Boling; Tian, Lixin; Yan, Zhenya; Ling, Liming; Wang, Yu-Feng
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
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.
2016
Nonlocal general vector nonlinear Schrödinger equations: integrability, $$\mathcal{PT}$$ symmetribility, and solutions. Zbl 1351.35197
Yan, Zhenya
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
2016
Integrable $$\mathcal{PT}$$-symmetric local and nonlocal vector nonlinear Schrödinger equations: a unified two-parameter model. Zbl 1322.35132
Yan, Zhenya
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
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.
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
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
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
2015
Parameters controlling matter waves in the one-dimensional generalized Gross-Pitaevskii equation with the varying potential and source. Zbl 1382.35281
Yan, Zhenya
2015
Novel wave structures in the two-dimensional cubic-quintic nonlinear Schrödinger equation with space-modulated potential and nonlinearities. Zbl 1348.35250
Yan, Zhenya
2015
Hopf bifurcation in a new four-dimensional hyperchaotic system. Zbl 1321.34057
Li, Xin; Yan, Zhen-Ya
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
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
2014
Nonautonomous discrete rogue wave solutions and interactions in an inhomogeneous lattice with varying coefficients. Zbl 1431.35147
Yan, Zhenya; Jiang, Dongmei
2012
Complex $$\mathcal{PT}$$-symmetric extensions of the nonlinear ultra-short light pulse model. Zbl 1263.81328
Yan, Zhenya
2012
Vector financial rogue waves. Zbl 1254.91190
Yan, Zhenya
2011
Rogon-like solutions excited in the two-dimensional nonlocal nonlinear Schrödinger equation. Zbl 1216.35147
Yan, Zhenya
2011
Exact solutions of nonlinear dispersive $$K(m, n)$$ model with variable coefficients. Zbl 1219.35268
Yan, Zhenya
2011
Financial rogue waves. Zbl 1219.91143
Yan, Zhen-Ya
2010
Nonautonomous “rogons” in the inhomogeneous nonlinear Schrödinger equation with variable coefficients. Zbl 1235.35266
Yan, Zhenya
2010
Exact analytical solutions for the generalized non-integrable nonlinear Schrödinger equation with varying coefficients. Zbl 1238.35148
Yan, Zhenya
2010
Periodic, solitary and rational wave solutions of the 3D extended quantum Zakharov-Kuznetsov equation in dense quantum plasmas. Zbl 1231.76362
Yan, Zhenya
2009
Symmetry groups and exact solutions of new $$(4+1)$$-dimensional Fokas equation. Zbl 1177.35210
Yang, Zheng-Zheng; Yan, Zhen-Ya
2009
Exact stationary wave patterns in three coupled nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1198.35263
Yan, Zhenya; Chow, K. W.; Malomed, Boris A.
2009
New exact solution profiles of the nonlinear dispersion Drinfel’d-Sokolov $$(D(m, n))$$ system. Zbl 1197.35252
Xie, Fuding; Yan, Zhenya
2009
Envelope solution profiles of the discrete nonlinear Schrödinger equation with a saturable nonlinearity. Zbl 1170.35540
Yan, Zhenya
2009
The new tri-function method to multiple exact solutions of nonlinear wave equations. Zbl 1155.35427
Yan, Zhenya
2008
Hyperchaos synchronization and control on a new hyperchaotic attractor. Zbl 1132.93042
Yan, Zhenya; Yu, Pei
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
2008
New binary travelling-wave periodic solutions for the modified KdV equation. Zbl 1217.35168
Yan, Zhenya
2008
Compactons and noncompactons to three-dimensional Kadomtsev-Petviashvili equation with nonlinear dispersion. Zbl 1136.35084
Xie, Fuding; Yan, Zhenya
2008
Chaos control in a new three-dimensional chaotic T system. Zbl 1392.93011
Chen, Yong; Yan, Zhen-Ya
2008
The modified KdV equation with variable coefficients: Exact uni/bi-variable travelling wave-like solutions. Zbl 1159.35403
Yan, Zhenya
2008
Exactly fractional solutions of the $$(2+1)$$-dimensional modified KP equation via some fractional transformations. Zbl 1132.35468
Xie, Fuding; Yan, Zhenya
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
2007
Multiple solution profiles to the higher-dimensional Kadomtsev-Petviashvilli equations via Wronskian determinant. Zbl 1151.35421
Yan, Zhenya
2007
New exact solution structures and nonlinear dispersion in the coupled nonlinear wave systems. Zbl 1170.35088
Yan, Zhenya
2007
Similarity transformations and exact solutions for a family of higher-dimensional generalized Boussinesq equations. Zbl 1170.35089
Yan, Zhenya
2007
Globally exponential hyperchaos (LAG) synchronization in a family of modified hyperchaotic Rössler systems. Zbl 1139.93028
Yan, Zhenya; Yu, Pei
2007
Separation transformation and envelope solutions of the higher-dimensional complex nonlinear Klein–Gordon equation. Zbl 1111.81052
Yan, Zhenya
2007
Hopf bifurcation in the Lorenz-type chaotic system. Zbl 1140.37345
Yan, Zhenya
2007
The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations. Zbl 1142.35603
Chen, Yong; Yan, Zhenya
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
2006
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
2006
Envelope compact and solitary pattern structures for the $$\text{GNLS}(m,n,p,q)$$ equations. Zbl 1236.35176
Yan, Zhenya
2006
New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms. Zbl 1091.35084
Yan, Zhenya
2006
Envelope exact solutions for the generalized nonlinear Schrödinger equation with a source. Zbl 1096.81008
Yan, Zhenya
2006
Discrete exact solutions of modified Volterra and Volterra lattice equations via the new discrete sine-Gordon expansion algorithm. Zbl 1113.37054
Yan, Zhenya
2006
Controlling hyperchaos in the new hyperchaotic Chen system. Zbl 1160.93384
Yan, Zhenya
2005
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
2005
Q-S synchronization in 3D Hénon-like map and generalized Hénon map via a scalar controller. Zbl 1222.37093
Yan, Zhenya
2005
Chaos Q-S synchronization between Rössler system and the new unified chaotic system. Zbl 1123.37312
Yan, Zhenya
2005
Nonclassical potential solutions of partial differential equations. Zbl 1084.35005
Bluman, George W.; Yan, Zhenya
2005
A new scheme to generalized (lag, anticipated, and complete) synchronization in chaotic and hyperchaotic systems. Zbl 1080.37040
Yan, Zhenya
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
2005
A nonlinear control scheme to anticipated and complete synchronization in discrete-time chaotic (hyperchaotic) systems. Zbl 1194.37065
Yan, Zhenya
2005
A new sine-Gordon equation expansion algorithm to investigate some special nonlinear differential equations. Zbl 1069.35077
Yan, Zhenya
2005
Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method. Zbl 1073.65106
Yan, Zhenya
2005
Numerical doubly periodic solution of the KdV equation with the initial condition via the decomposition method. Zbl 1082.65587
Yan, Zhenya
2005
New Weierstrass elliptic function solutions of the $$N$$-coupled nonlinear Klein-Gordon equations. Zbl 1070.35049
Chen, Yong; Yan, Zhenya
2005
The $$(2+1)$$-dimensional integrable coupling of KdV equation: auto-Bäcklund transformation and new non-traveling wave profiles. Zbl 1345.35094
Yan, Zhenya
2005
Doubly periodic wave solutions of some nonlinear evolution equations using sinh-Gordon equation expansion method. Zbl 07038938
Krishnan, Edamana Vasudevan; Yan, Zhenya
2005
An improved algebra method and its applications in nonlinear wave equations. Zbl 1046.35103
Yan, Zhenya
2004
The new constructive algorithm and symbolic computation applied to exact solutions of nonlinear wave equations. Zbl 1123.35348
Yan, Zhenya
2004
Optical solitary wave solutions to nonlinear Schrödinger equation with cubic-quintic nonlinearity in non-Kerr media. Zbl 1065.81143
Yan, Zhenya
2004
The investigation for $$(2+1)$$-dimensional Eckhaus-type extension of the dispersive long wave equation. Zbl 1074.35080
Yan, Zhenya
2004
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
2003
Generalized method and its application in the higher-order nonlinear Schrödinger equation in nonlinear optical fibres. Zbl 1035.78006
Yan, Zhenya
2003
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
2003
...and 57 more Documents
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#### Cited by 1,319 Authors

 61 Yan, Zhenya 42 Zhang, Hongqing 35 Chen, Yong 24 Tian, Bo 19 Wen, Xiaoyong 17 Khalique, Chaudry Masood 16 Dai, Zhengde 16 Tian, Shoufu 16 Zayed, Elsayed M. E. 14 Gao, Yitian 13 Bekir, Ahmet 13 He, Jingsong 12 Li, Biao 12 Shang, Yadong 11 Meng, Xianghua 11 Song, Lina 11 Wang, Dengshan 11 Wang, Xiubin 11 Wazwaz, Abdul-Majid Abdul-Rahman 11 Zhang, Guoqiang 10 Geng, Xianguo 10 Gepreel, Khaled A. 10 Ma, Wen-Xiu 10 Tian, Lixin 10 Wang, Xingyuan 10 Xu, Tao 10 Zhang, Sheng 10 Zhang, Tiantian 9 Inc, Mustafa 9 Mihalache, Dumitru 9 Yu, Fajun 8 Biswas, Anjan 8 Ouannas, Adel 8 Yu, Xin 7 An, Hongli 7 Dai, Chaoqing 7 Li, Yin 7 Lü, Xing 7 Rao, Jiguang 7 Sun, Zhiyuan 7 Tang, Shengqiang 7 Tang, Yaning 7 Xu, Wei 7 Xue, Bo 7 Yang, Yunqing 6 Cheng, Yi 6 Fan, Xinghua 6 Gao, Liang 6 Guo, Boling 6 Han, Bo 6 Li, Jibin 6 Li, Zhibin 6 Vitanov, Nikolay K. 6 Wang, Lei 6 Wang, Mingjun 6 Wang, Qi 6 Wei, Long 6 Wu, Xiangjun 6 Yong, Xuelin 6 Zhang, Yufeng 6 Zhao, Jiakun 5 Belić, Milivoj R. 5 Dong, Huanhe 5 Huang, Yong 5 Jiang, Yan 5 Li, Bangqing 5 Liu, Nan 5 Liu, Wenjun J. 5 Ma, Yulan 5 Porsezian, Kuppusamy 5 Valls Anglés, Cláudia 5 Wang, Chuanjian 5 Zhang, Huiqun 5 Zhang, Xiaoen 5 Zhou, Jiangbo 5 Zhu, Yonggui 4 Abazari, Reza 4 Abourabia, Aly Maher 4 Adem, Abdullahi Rashid 4 Alurrfi, Khaled A. E. 4 Bi, Qinsheng 4 Cao, Jinde 4 Chen, Hanlin 4 Chu, Yandong 4 Dimitrova, Zlatinka I. 4 El-Dessoky, Mohamed M. 4 El-Ganaini, Shoukry Ibrahim Atia 4 Evans, David John 4 Feng, Dahe 4 Gai, Xiaoling 4 Ganji, Davood Domiri 4 Lakshmanan, Muthusamy 4 Li, Hanxiong 4 Li, Ruomeng 4 Liu, Changfu 4 Liu, Zhengrong 4 Lou, Senyue 4 Malomed, Boris A. 4 Meng, Dexin 4 Naher, Hasibun ...and 1,219 more Authors
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#### Cited in 151 Serials

 167 Applied Mathematics and Computation 79 Nonlinear Dynamics 73 Chaos, Solitons and Fractals 70 Communications in Nonlinear Science and Numerical Simulation 41 Chaos 38 Computers & Mathematics with Applications 29 International Journal of Modern Physics B 28 Applied Mathematics Letters 28 Abstract and Applied Analysis 24 Mathematical Problems in Engineering 21 Journal of Mathematical Physics 17 International Journal of Modern Physics C 17 Advances in Difference Equations 16 Journal of Mathematical Analysis and Applications 16 Physics Letters. A 16 Journal of Applied Mathematics 16 Advances in Mathematical Physics 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Communications in Theoretical Physics 12 International Journal of Computer Mathematics 12 Nonlinear Analysis. Real World Applications 11 Mathematical Methods in the Applied Sciences 11 Wave Motion 11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9 Complexity 9 Journal of Nonlinear Mathematical Physics 8 Applied Mathematical Modelling 8 Discrete Dynamics in Nature and Society 7 Journal of Computational and Applied Mathematics 6 Journal of the Egyptian Mathematical Society 6 Journal of Applied Analysis and Computation 5 International Journal of Theoretical Physics 5 Reports on Mathematical Physics 5 Theoretical and Mathematical Physics 5 Applied Mathematics and Mechanics. (English Edition) 5 Mathematical and Computer Modelling 4 Modern Physics Letters B 4 Applicable Analysis 4 Acta Applicandae Mathematicae 4 Analysis and Mathematical Physics 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 Physica A 3 Proceedings of the American Mathematical Society 3 Studies in Applied Mathematics 3 Journal of Nonlinear Science 3 International Journal of Numerical Methods for Heat & Fluid Flow 3 Waves in Random and Complex Media 3 Journal of Nonlinear Science and Applications 3 Journal of Function Spaces 3 International Journal of Applied and Computational Mathematics 3 Cogent Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Journal of Differential Equations 2 Mathematics and Computers in Simulation 2 Quaestiones Mathematicae 2 Chinese Annals of Mathematics. Series B 2 Physica D 2 Acta Mathematicae Applicatae Sinica. English Series 2 Computational Mathematics and Modeling 2 Applied Mathematics. Series B (English Edition) 2 Engineering Analysis with Boundary Elements 2 Differential Equations and Dynamical Systems 2 Journal of Interdisciplinary Mathematics 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Journal of Modern Optics 2 Entropy 2 Journal of Applied Mathematics and Computing 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Complex Analysis and Operator Theory 2 Frontiers of Mathematics in China 2 Journal of Control Science and Engineering 2 Science China. Mathematics 2 Arabian Journal for Science and Engineering 2 ISRN Applied Mathematics 2 Journal of Mathematics 2 Computational Methods for Differential Equations 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Acta Mechanica 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 Earth, Moon, and Planets 1 International Journal of Engineering Science 1 Journal of Engineering Mathematics 1 Journal of Statistical Physics 1 Nonlinearity 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Journal of Geometry and Physics 1 Demonstratio Mathematica 1 Information Sciences 1 Kybernetes 1 Ricerche di Matematica 1 Journal of Symbolic Computation 1 Numerical Methods for Partial Differential Equations 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics ...and 51 more Serials
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#### Cited in 44 Fields

 796 Partial differential equations (35-XX) 330 Dynamical systems and ergodic theory (37-XX) 143 Ordinary differential equations (34-XX) 100 Numerical analysis (65-XX) 98 Systems theory; control (93-XX) 83 Fluid mechanics (76-XX) 54 Computer science (68-XX) 41 Quantum theory (81-XX) 37 Optics, electromagnetic theory (78-XX) 27 Statistical mechanics, structure of matter (82-XX) 20 Mechanics of particles and systems (70-XX) 14 Real functions (26-XX) 13 Mechanics of deformable solids (74-XX) 12 Special functions (33-XX) 11 Difference and functional equations (39-XX) 11 Integral equations (45-XX) 10 Information and communication theory, circuits (94-XX) 8 Geophysics (86-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Biology and other natural sciences (92-XX) 6 Approximations and expansions (41-XX) 5 Algebraic geometry (14-XX) 5 Probability theory and stochastic processes (60-XX) 5 Relativity and gravitational theory (83-XX) 4 Topological groups, Lie groups (22-XX) 4 Differential geometry (53-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Nonassociative rings and algebras (17-XX) 3 Operator theory (47-XX) 3 Astronomy and astrophysics (85-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Combinatorics (05-XX) 2 Associative rings and algebras (16-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Operations research, mathematical programming (90-XX)