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Communications in Nonlinear Science and Numerical Simulation

Short Title: Commun. Nonlinear Sci. Numer. Simul.
Publisher: Elsevier, Amsterdam
ISSN: 1007-5704
Online: https://www.sciencedirect.com/journal/communications-in-nonlinear-science-and-numerical-simulation/issues
Documents Indexed: 5,844 Publications (since 1996)
References Indexed: 5,562 Publications with 174,310 References.
all top 5

Authors

46 Machado, José António Tenreiro
35 Hayat, Tasawar
32 Guo, Boling
30 Băleanu, Dumitru I.
30 Biswas, Anjan
30 Sanjuán, Miguel A. F.
28 Wazwaz, Abdul-Majid Abdul-Rahman
27 Luo, Albert C. J.
27 Shang, Pengjian
26 Ibragimov, Nail Hairullovich
26 Liao, Shijun
24 Tian, Bo
23 Kudryashov, Nikolaĭ Alekseevich
23 Meleshko, Sergey V.
21 Abbasbandy, Saeid
21 Xu, Wei
21 Zhong, Shou-Ming
19 Malomed, Boris A.
18 Yu, Pei
17 Chen, Guanrong
17 Rand, Richard H.
16 Macías-Díaz, Jorge Eduardo
15 Gandarias Núñez, Maria Luz
15 Kofané, Timoléon Crépin
15 Tarasov, Vasily E.
15 Vajravelu, Kuppalapalle
15 Wang, Jiang
15 Wang, Jinrong
14 Cao, Jinde
14 Chen, Lansun
14 Chen, Yong
14 He, Jihuan
14 Khalique, Chaudry Masood
14 Lü, Xing
14 Ma, Jun
14 Wang, Ke
13 Awrejcewicz, Jan
13 Deng, Bin
13 Li, Yongkun
13 Ma, Wen-Xiu
13 Ruan, Jiong
13 Wang, Xingyuan
13 Yamapi, René
13 Zhang, Yufeng
12 Bowong, Samuel
12 He, Jingsong
12 Kim, Junseok
12 Maleknejad, Khosrow
12 Sun, Jianqiao
12 Tian, Lixin
12 van Gorder, Robert Ashton
12 Wiggins, Stephen
11 Algaba, Antonio
11 Asghar, Saleem
11 Batista, Antonio Marcos
11 Bi, Qinsheng
11 Chen, Guoqian
11 Dehghan Takht Fooladi, Mehdi
11 Fu, Xilin
11 Kevrekidis, Panayotis G.
11 Li, Houqiang
11 Lin, Chang
11 Ma, Junhai
11 Masdemont, Josep J.
11 Noorani, Mohd Salmi Mohd
11 O’Regan, Donal
11 Pop, Ioan
11 Tchawoua, Clement
11 Wei, Xile
11 Woafo, Paul
11 Zaslavskiĭ, Georgiĭ Moiseevich
11 Zhang, Hongqing
10 Akhmet, Marat Ubaydulla
10 Fečkan, Michal
10 Gómez, Gerard
10 Jiang, Daqing
10 Kurths, Jürgen
10 Li, Xiaodi
10 Liao, Xiaofeng
10 Lopes, António M.
10 Ramm, Alexander G.
10 Ryashko, Lev Borisovich
10 Starkov, Konstantin E.
10 Wang, Lei
10 Wong, Kwokwo
10 Xiao, Di
9 Agarwal, Ravi P.
9 Ayub, Muhammad
9 Balasubramaniam, Pagavathigounder
9 Bashkirtseva, Irina Adol’fovna
9 Bruzón, Maria Santos
9 Butcher, Eric A.
9 Cao, Hongjun
9 Cherniha, Roman M.
9 Doroshin, Anton V.
9 Fang, Tiegang
9 Gao, Yitian
9 Hashim, Ishak
9 Kovacic, Ivana
9 Liu, Xinzhi
...and 8,928 more Authors
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Fields

1,569 Partial differential equations (35-XX)
1,292 Ordinary differential equations (34-XX)
1,253 Dynamical systems and ergodic theory (37-XX)
856 Biology and other natural sciences (92-XX)
775 Numerical analysis (65-XX)
723 Fluid mechanics (76-XX)
665 Systems theory; control (93-XX)
405 Mechanics of particles and systems (70-XX)
350 Mechanics of deformable solids (74-XX)
304 Statistical mechanics, structure of matter (82-XX)
246 Probability theory and stochastic processes (60-XX)
244 Information and communication theory, circuits (94-XX)
215 Real functions (26-XX)
213 Optics, electromagnetic theory (78-XX)
205 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
161 General and overarching topics; collections (00-XX)
147 Computer science (68-XX)
141 Operations research, mathematical programming (90-XX)
137 Statistics (62-XX)
122 Classical thermodynamics, heat transfer (80-XX)
113 Quantum theory (81-XX)
85 Integral equations (45-XX)
83 Calculus of variations and optimal control; optimization (49-XX)
80 Geophysics (86-XX)
72 Difference and functional equations (39-XX)
72 Operator theory (47-XX)
53 Special functions (33-XX)
42 Combinatorics (05-XX)
42 Measure and integration (28-XX)
35 Astronomy and astrophysics (85-XX)
30 Global analysis, analysis on manifolds (58-XX)
25 Harmonic analysis on Euclidean spaces (42-XX)
21 Linear and multilinear algebra; matrix theory (15-XX)
20 Relativity and gravitational theory (83-XX)
19 Approximations and expansions (41-XX)
19 Integral transforms, operational calculus (44-XX)
12 Number theory (11-XX)
12 Nonassociative rings and algebras (17-XX)
9 Functions of a complex variable (30-XX)
9 Differential geometry (53-XX)
7 General topology (54-XX)
6 Functional analysis (46-XX)
5 Topological groups, Lie groups (22-XX)
4 History and biography (01-XX)
3 Field theory and polynomials (12-XX)
2 Mathematical logic and foundations (03-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Sequences, series, summability (40-XX)
2 Manifolds and cell complexes (57-XX)
2 Mathematics education (97-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Potential theory (31-XX)
1 Abstract harmonic analysis (43-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)

Publications by Year

Citations contained in zbMATH Open

4,135 Publications have been cited 35,158 times in 22,388 Documents Cited by Year
Recent history of fractional calculus. Zbl 1221.26002
Tenreiro Machado, J.; Kiryakova, Virginia; Mainardi, Francesco
407
2011
Notes on the homotopy analysis method: some definitions and theorems. Zbl 1221.65126
Liao, Shijun
236
2009
Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems. Zbl 1333.34007
Duarte-Mermoud, Manuel A.; Aguila-Camacho, Norelys; Gallegos, Javier A.; Castro-Linares, Rafael
183
2015
Homotopy analysis method for fractional IVPs. Zbl 1221.65277
Hashim, I.; Abdulaziz, O.; Momani, S.
182
2009
On the concept and existence of solution for impulsive fractional differential equations. Zbl 1252.35277
Fečkan, Michal; Zhou, Yong; Wang, Jinrong
170
2012
A Caputo fractional derivative of a function with respect to another function. Zbl 1465.26005
Almeida, Ricardo
163
2017
Fractional calculus in viscoelasticity: an experimental study. Zbl 1221.74012
Meral, F. C.; Royston, T. J.; Magin, R.
162
2010
An optimal homotopy-analysis approach for strongly nonlinear differential equations. Zbl 1222.65088
Liao, Shijun
154
2010
A new collection of real world applications of fractional calculus in science and engineering. Zbl 07265270
Sun, HongGuang; Zhang, Yong; Baleanu, Dumitru; Chen, Wen; Chen, YangQuan
153
2018
On the \(\psi\)-Hilfer fractional derivative. Zbl 1470.26015
Vanterler da C. Sousa, J.; de Oliveira, E. Capelas
152
2018
Lyapunov functions for fractional order systems. Zbl 07175104
Aguila-Camacho, Norelys; Duarte-Mermoud, Manuel A.; Gallegos, Javier A.
132
2014
One method for finding exact solutions of nonlinear differential equations. Zbl 1250.35055
Kudryashov, Nikolay A.
126
2012
Homotopy analysis method for quadratic Riccati differential equation. Zbl 1132.34305
Tan, Yue; Abbasbandy, Saeid
121
2008
On the numerical solutions for the fractional diffusion equation. Zbl 1221.65263
Khader, M. M.
110
2011
Solving fuzzy fractional differential equations by fuzzy Laplace transforms. Zbl 1245.35146
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.
107
2012
Seven common errors in finding exact solutions of nonlinear differential equations. Zbl 1221.35342
Kudryashov, Nikolai A.
106
2009
Solving a nonlinear fractional differential equation using Chebyshev wavelets. Zbl 1222.65087
Li, Yuanlu
106
2010
The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients. Zbl 1250.65121
Saadatmandi, Abbas; Dehghan, Mehdi; Azizi, Mohammad-Reza
102
2012
Fractional Poisson process. Zbl 1025.35029
Laskin, Nick
102
2003
The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations. Zbl 1221.34068
Zhao, Yige; Sun, Shurong; Han, Zhenlai; Li, Qiuping
100
2011
Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control. Zbl 1221.93091
Wang, Xing-Yuan; Song, Jun-Mei
99
2009
Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives. Zbl 1221.49038
Almeida, Ricardo; Torres, Delfim F. M.
98
2011
An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate. Zbl 1078.76022
Liao, Shijun
97
2006
No violation of the Leibniz rule. No fractional derivative. Zbl 1329.26015
Tarasov, Vasily E.
97
2013
Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet. Zbl 1335.45002
Zhu, Li; Fan, Qibin
94
2012
Stability analysis of a prey-predator model incorporating a prey refuge. Zbl 1064.92045
Kar, Tapan Kumar
93
2005
New solitons and kink solutions for the Gardner equation. Zbl 1118.35352
Wazwaz, Abdul-Majid
89
2007
The Legendre wavelet method for solving fractional differential equations. Zbl 1222.65063
Ur Rehman, Mujeeb; Ali Khan, Rahmat
82
2011
The uniqueness of positive solution for a singular fractional differential system involving derivatives. Zbl 1283.34006
Zhang, Xinguang; Liu, Lishan; Wu, Yonghong
81
2013
On control and synchronization in chaotic and hyperchaotic systems via linear feedback control. Zbl 1221.93230
Rafikov, Marat; Balthazar, José Manoel
79
2008
Application of generalized differential transform method to multi-order fractional differential equations. Zbl 1221.34022
Erturk, Vedat Suat; Momani, Shaher; Odibat, Zaid
79
2008
Some applications of fractional equations. Zbl 1041.35073
Weitzner, H.; Zaslavsky, G. M.
79
2003
Lie symmetry analysis to the time fractional generalized fifth-order KdV equation. Zbl 1304.35624
Wang, Gang-wei; Liu, Xi-qiang; Zhang, Ying-yuan
75
2013
Approximate controllability of nonlinear fractional dynamical systems. Zbl 1344.93019
Sakthivel, R.; Ganesh, R.; Ren, Yong; Anthoni, S. M.
73
2013
Be careful with the Exp-function method. Zbl 1221.35344
Kudryashov, Nikolai A.; Loguinova, Nadejda B.
73
2009
Synchronization of different fractional order chaotic systems using active control. Zbl 1222.94031
Bhalekar, Sachin; Daftardar-Gejji, Varsha
70
2010
Volterra-type Lyapunov functions for fractional-order epidemic systems. Zbl 1440.92067
Vargas-De-León, Cruz
70
2015
The construction of operational matrix of fractional derivatives using B-spline functions. Zbl 1276.65015
Lakestani, Mehrdad; Dehghan, Mehdi; Irandoust-Pakchin, Safar
69
2012
New concepts and results in stability of fractional differential equations. Zbl 1252.35276
Wang, Jinrong; Lv, Linli; Zhou, Yong
68
2012
Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation. Zbl 1221.65278
Jafari, H.; Seifi, S.
68
2009
Modified fractional Euler method for solving fuzzy fractional initial value problem. Zbl 1253.35208
Mazandarani, Mehran; Kamyad, Ali Vahidian
67
2013
The existence of solutions for boundary value problem of fractional hybrid differential equations. Zbl 1352.34011
Sun, Shurong; Zhao, Yige; Han, Zhenlai; Li, Yanan
67
2012
A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations. Zbl 1226.65062
Esmaeili, Shahrokh; Shamsi, M.
67
2011
Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity. Zbl 1222.35062
Vitanov, Nikolay K.
67
2010
A chaotic secure communication scheme using fractional chaotic systems based on an extended fractional Kalman filter. Zbl 1221.94049
Kiani-B, Arman; Fallahi, Kia; Pariz, Naser; Leung, Henry
64
2009
A theory for synchronization of dynamical systems. Zbl 1221.37218
Luo, Albert C. J.
64
2009
New travelling wave solutions to the Boussinesq and the Klein-Gordon equations. Zbl 1221.35372
Wazwaz, Abdul-Majid
64
2008
Caputo \(q\)-fractional initial value problems and a \(q\)-analogue Mittag-Leffler function. Zbl 1231.26006
Abdeljawad, Thabet; Baleanu, Dumitru
64
2011
Positive solutions to singular fractional differential system with coupled boundary conditions. Zbl 1329.34010
Jiang, Jiqiang; Liu, Lishan; Wu, Yonghong
63
2013
The effect of constant and pulse vaccination on SIS epidemic models incorporating media coverage. Zbl 1221.34034
Li, Yongfeng; Cui, Jingan
63
2009
Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials. Zbl 1266.65115
Sedaghat, S.; Ordokhani, Y.; Dehghan, Mehdi
62
2012
The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants. Zbl 1078.35108
Wazwaz, Abdul-Majid
61
2006
Design of sliding mode controller for a class of fractional-order chaotic systems. Zbl 1248.93041
Yin, Chun; Zhong, Shou-ming; Chen, Wu-fan
60
2012
Finite-time synchronization control of complex dynamical networks with time delay. Zbl 1311.34157
Mei, Jun; Jiang, Minghui; Xu, Wangming; Wang, Bin
60
2013
A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order. Zbl 1221.65354
Saeedi, H.; Moghadam, M. Mohseni; Mollahasani, N.; Chuev, G. N.
59
2011
Fractional dynamics of systems with long-range interaction. Zbl 1106.35103
Tarasov, Vasily E.; Zaslavsky, George M.
59
2006
Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations. Zbl 1344.65126
Heydari, M. H.; Hooshmandasl, M. R.; Mohammadi, F.; Cattani, C.
58
2014
On “new travelling wave solutions” of the KdV and the KdV-Burgers equations. Zbl 1221.35343
Kudryashov, Nikolai A.
58
2009
How to impose physically coherent initial conditions to a fractional system? Zbl 1221.34019
Sabatier, Jocelyn; Merveillaut, Mathieu; Malti, Rachid; Oustaloup, Alain
58
2010
Mathematical modeling of the spread of the coronavirus disease 2019 (COVID-19) taking into account the undetected infections. The case of China. Zbl 1444.92114
Ivorra, B.; Ferrández, M. R.; Vela-Pérez, Maria; Ramos, A. M.
58
2020
Computational method based on Bernstein operational matrices for nonlinear Volterra-Fredholm-Hammerstein integral equations. Zbl 1244.65243
Maleknejad, Khosrow; Hashemizadeh, Elham; Basirat, B.
57
2012
Solving a system of nonlinear fractional partial differential equations using homotopy analysis method. Zbl 1221.35439
Jafari, H.; Seifi, S.
57
2009
Existence results for fractional impulsive integrodifferential equations in Banach spaces. Zbl 1221.34215
Balachandran, K.; Kiruthika, S.; Trujillo, J. J.
57
2011
Leibniz type rule: \(\psi\)-Hilfer fractional operator. Zbl 1477.26012
Vanterler da C. Sousa, J.; de Oliveira, E. Capelas
55
2019
A Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equations. Zbl 1244.65099
Bhrawy, Ali H.; Alofi, A. S.
54
2012
Effect of Deborah number and phase difference on peristaltic transport of a third-order fluid in an asymmetric channel. Zbl 1127.76069
Haroun, Mohamed H.
54
2007
An approximate solution technique depending on an artificial parameter: A special example. Zbl 0921.35009
He, Jihuan
53
1998
Adiabatic parameter dynamics of perturbed solitary waves. Zbl 1221.35321
Antonova, Mariana; Biswas, Anjan
53
2009
A sliding mode control for linear fractional systems with input and state delays. Zbl 1221.93048
Si-Ammour, Amar; Djennoune, Said; Bettayeb, Maamar
53
2009
The role of fractional calculus in modeling biological phenomena: a review. Zbl 1467.92050
Ionescu, Claramihaela; Lopes, A.; Copot, Dana; Machado, J. A. T.; Bates, Jason H. T.
53
2017
Complete controllability of fractional evolution systems. Zbl 1248.93029
Wang, Jinrong; Zhou, Yong
52
2012
Nonlinear self-adjointness, conservation laws and exact solutions of time-fractional Kompaneets equations. Zbl 1351.35250
Gazizov, R. K.; Ibragimov, N. H.; Lukashchuk, S. Yu.
52
2015
The Lie-group shooting method for solving the Bratu equation. Zbl 1222.65067
Abbasbandy, S.; Hashemi, M. S.; Liu, Chein-Shan
52
2011
Finite-time chaos control via nonsingular terminal sliding mode control. Zbl 1221.37225
Wang, Hua; Han, Zheng-Zhi; Xie, Qi-Yue; Zhang, Wei
52
2009
On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential equations: a general approach. Zbl 1221.65208
Van Gorder, Robert A.; Vajravelu, K.
52
2009
Exponential stability of second-order stochastic evolution equations with Poisson jumps. Zbl 1273.60077
Sakthivel, R.; Ren, Y.
51
2012
Grey system model with the fractional order accumulation. Zbl 1274.62639
Wu, Lifeng; Liu, Sifeng; Yao, Ligen; Yan, Shuli; Liu, Dinglin
51
2013
A new approach to the numerical solution of Volterra integral equations by using Bernstein’s approximation. Zbl 1221.65334
Maleknejad, K.; Hashemizadeh, E.; Ezzati, R.
51
2011
Meromorphic solutions of nonlinear ordinary differential equations. Zbl 1222.35160
Kudryashov, Nikolai A.
51
2010
Solution of the MHD Falkner-Skan flow by homotopy analysis method. Zbl 1221.76133
Abbasbandy, S.; Hayat, T.
50
2009
Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets. Zbl 1221.65140
Saeedi, H.; Moghadam, M. Mohseni
50
2011
Delay-dependent robust exponential state estimation of Markovian jumping fuzzy Hopfield neural networks with mixed random time-varying delays. Zbl 1221.93254
Balasubramaniam, P.; Vembarasan, V.; Rakkiyappan, R.
50
2011
A collocation-shooting method for solving fractional boundary value problems. Zbl 1222.65078
Al-Mdallal, Qasem M.; Syam, Muhammed I.; Anwar, M. N.
50
2010
Fuzzy fractional functional differential equations under Caputo gH-differentiability. Zbl 1336.34009
Ngo Van Hoa
49
2015
A class of fractional delay nonlinear integrodifferential controlled systems in Banach spaces. Zbl 1223.45007
Wang, Jinrong; Zhou, Yong; Wei, W.
49
2011
Oscillation of second-order strongly superlinear and strongly sublinear dynamic equations. Zbl 1221.34083
Grace, Said R.; Agarwal, Ravi P.; Bohner, Martin; O’Regan, Donal
49
2009
On shifted Jacobi spectral method for high-order multi-point boundary value problems. Zbl 1251.65112
Doha, E. H.; Bhrawy, A. H.; Hafez, R. M.
48
2012
On some new properties of fractional derivatives with Mittag-Leffler kernel. Zbl 07263357
Baleanu, Dumitru; Fernandez, Arran
48
2018
Bifurcations of fuzzy nonlinear dynamical systems. Zbl 1078.37049
Hong, Ling; Sun, Jian-Qiao
47
2006
Synchronization of the unified chaotic system and application in secure communication. Zbl 1221.94047
Grzybowski, J. M. V.; Rafikov, M.; Balthazar, J. M.
47
2009
Dynamical models of happiness with fractional order. Zbl 1221.93234
Song, Lei; Xu, Shiyun; Yang, Jianying
47
2010
Chaos, feedback control and synchronization of a fractional-order modified autonomous Van der Pol-Duffing circuit. Zbl 1221.93227
Matouk, A. E.
47
2011
Global stability of a nonlinear stochastic predator-prey system with Beddington-DeAngelis functional response. Zbl 1221.34152
Liu, Meng; Wang, Ke
47
2011
The extended tanh method for the Zakharov-Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms. Zbl 1221.35373
Wazwaz, Abdul-Majid
47
2008
Impulsive controller design for exponential synchronization of chaotic neural networks with mixed delays. Zbl 1286.34106
Li, Xiaodi; Rakkiyappan, R.
47
2013
Robust finite-time \(H_{\infty }\) control for a class of uncertain switched neutral systems. Zbl 1239.93036
Xiang, Zhengrong; Sun, Ya-Nan; Mahmoud, Magdi S.
46
2012
Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller. Zbl 1248.93146
Aghababa, Mohammad Pourmahmood
46
2012
Analytical solution for the space fractional diffusion equation by two-step Adomian decomposition method. Zbl 1221.65284
Ray, Santanu Saha
46
2009
Viscous flow over a shrinking sheet with a second order slip flow model. Zbl 1222.76028
Fang, Tiegang; Yao, Shanshan; Zhang, Ji; Aziz, Abdul
45
2010
A theory for non-smooth dynamic systems on the connectable domains. Zbl 1065.34007
Luo, Albert C. J.
44
2005
Rogue waves, semirational rogue waves and W-shaped solitons in the three-level coupled Maxwell-Bloch equations. Zbl 1481.78025
Wang, Xin; Wang, Lei; Liu, Chong; Guo, Bowen; Wei, Jiao
5
2022
Certain electromagnetic waves in a ferromagnetic film. Zbl 07443076
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui; Yin, Hui-Min; Du, Xia-Xia; Yang, Dan-Yu
4
2022
KAM quasi-periodic tori for the dissipative spin-orbit problem. Zbl 1480.37070
Calleja, Renato; Celletti, Alessandra; Gimeno, Joan; de la Llave, Rafael
4
2022
A strong-form local meshless approach based on radial basis function-finite difference (RBF-FD) method for solving multi-dimensional coupled damped Schrödinger system appearing in Bose-Einstein condensates. Zbl 07428002
Oruç, Ömer
3
2022
On the stability of satellites at unstable libration points of Sun-planet-Moon systems. Zbl 07428013
Reiff, Johannes; Zatsch, Jonas; Main, Jörg; Hernandez, Rigoberto
3
2022
PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background. Zbl 07443077
Peng, Wei-Qi; Pu, Jun-Cai; Chen, Yong
3
2022
Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix. Zbl 07469331
Tian, He-Yuan; Tian, Bo; Sun, Yan; Zhang, Chen-Rong
3
2022
Investigation of magneto-electro-thermo-mechanical loads on nonlinear forced vibrations of composite cylindrical shells. Zbl 1482.74086
Liu, Yunfei; Qin, Zhaoye; Chu, Fulei
3
2022
Classical multiseparable Hamiltonian systems, superintegrability and Haantjes geometry. Zbl 07427989
Nozaleda, Daniel Reyes; Tempesta, Piergiulio; Tondo, Giorgio
2
2022
Nonlinear size-dependent bending and forced vibration of internal flow-inducing pre- and post-buckled FG nanotubes. Zbl 1477.74042
Jin, Qiduo; Ren, Yiru
2
2022
Analysis and discretization of a variable-order fractional wave equation. Zbl 07428007
Zheng, Xiangcheng; Wang, Hong
2
2022
Numerical integration of third-order singular boundary-value problems of Emden-Fowler type using hybrid block techniques. Zbl 1476.65145
Rufai, Mufutau Ajani; Ramos, Higinio
2
2022
Numerical approaches to Caputo-Hadamard fractional derivatives with applications to long-term integration of fractional differential systems. Zbl 07443102
Fan, Enyu; Li, Changpin; Li, Zhiqiang
2
2022
Breather, lump and N-soliton wave solutions of the (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients. Zbl 07443103
Li, Qianqian; Shan, Wenrui; Wang, Panpan; Cui, Haoguang
2
2022
KAM quasi-periodic solutions for the dissipative standard map. Zbl 07443110
Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael
2
2022
Lucas polynomials based spectral methods for solving the fractional order electrohydrodynamics flow model. Zbl 07469333
Sahlan, M. Nosrati; Afshari, H.
2
2022
Breather-soliton molecules and breather-positons for the extended complex modified KdV equation. Zbl 07469346
Lv, Nannan; Huang, Lin
2
2022
Computer-assisted proof for the stationary solution existence of the Navier-Stokes equation over 3D domains. Zbl 07474629
Liu, Xuefeng; Nakao, Mitsuhiro T.; Oishi, Shin’ichi
2
2022
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1
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Conditional physics informed neural networks. Zbl 1485.65086
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1
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1
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Transition state dynamics of a driven magnetic free layer. Zbl 1487.78004
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1
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Nonlinear growth and mathematical modelling of COVID-19 in some African countries with the Atangana-Baleanu fractional derivative. Zbl 1478.92202
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1
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On numerical approximations of fractional-order spiking neuron models. Zbl 1478.92036
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1
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On pattern formation in reaction-diffusion systems containing self- and cross-diffusion. Zbl 07443093
Aymard, Benjamin
1
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Computer assisted proof of drift orbits along normally hyperbolic manifolds. Zbl 1485.37071
Capiński, Maciej J.; Gonzalez, Jorge; Marco, Jean-Pierre; Mireles James, Jason D.
1
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A generalized \((1+2)\)-dimensional Bogoyavlenskii-Kadomtsev-Petviashvili (BKP) equation: multiple exp-function algorithm; conservation laws; similarity solutions. Zbl 1479.35178
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1
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Closed-form formulas for conditional moments of inhomogeneous Pearson diffusion processes. Zbl 1479.60165
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1
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Nonlinear dynamic analysis of nonlocal composite laminated toroidal shell segments subjected to mechanical shock. Zbl 07443106
Karimipour, I.; Beni, Y. Tadi
1
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A novel fully-decoupled, linear, and unconditionally energy-stable scheme of the conserved Allen-Cahn phase-field model of a two-phase incompressible flow system with variable density and viscosity. Zbl 07469338
Liu, Peng; Ouyang, Zhigang; Chen, Chuanjun; Yang, Xiaofeng
1
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Robust \(H_{\infty}\) integral controller design for regulation problem of uncertain nonlinear systems with non-zero set-point. Zbl 1482.93163
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1
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Emergence of extreme events in coupled systems with time-dependent interactions. Zbl 07469352
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1
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Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity. Zbl 1483.35119
Jaquette, Jonathan; Lessard, Jean-Philippe; Takayasu, Akitoshi
1
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Response probability density function for non-bijective transformations. Zbl 07469359
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1
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Competitive exclusion and coexistence in an intraguild predation model with Beddington-DeAngelis functional response. Zbl 1482.92070
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1
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Analysis and implementation of a computational technique for a coupled system of two singularly perturbed parabolic semilinear reaction-diffusion equations having discontinuous source terms. Zbl 1480.65222
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1
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Wave propagation behavior in nonlinear media and resonant nonlinear interactions. Zbl 1482.76028
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1
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New criteria of almost sure exponential stability and instability of nonlinear stochastic systems with a generalization to stochastic coupled systems. Zbl 1490.93109
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1
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Nonlinear vibrations of a beam with non-ideal boundary conditions and subjected to two correlated or uncorrelated broadband random excitations – experiments, modeling and simulations. Zbl 1490.74049
Talik, S.; Sinou, J.-J.; Claeys, M.; Lambelin, J.-P.
1
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Finite-time dissipative control for discrete-time stochastic delayed systems with Markovian switching and interval parameters. Zbl 1490.93112
Chen, Guici; Yang, Jinrong; Zhou, Xin
1
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Dynamics of general higher-order rogue waves in the two-component nonlinear Schrödinger equation coupled to the Boussinesq equation. Zbl 1489.35257
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1
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Pattern formation in a thermosensitive neural network. Zbl 07526839
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1
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Unconditionally energy stable schemes for fluid-based topology optimization. Zbl 07526842
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1
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Simulation of hybrid systems under Zeno behavior using numerical infinitesimals. Zbl 07526846
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1
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New criteria on exponential stability of impulsive stochastic delayed differential systems with infinite delays. Zbl 07526854
Xu, Haofeng; Zhu, Quanxin
1
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Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport. Zbl 1471.65162
Nikan, O.; Avazzadeh, Z.; Machado, J. A. Tenreiro
19
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An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media. Zbl 1452.76227
Feng, Libo; Turner, Ian; Perré, Patrick; Burrage, Kevin
13
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Convergence of a generalized penalty method for variational-hemivariational inequalities. Zbl 07274884
Zeng, Shengda; Migórski, Stanisław; Liu, Zhenhai; Yao, Jen-Chih
9
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Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: what could possibly go wrong? Zbl 1466.65086
Zaky, Mahmoud A.; Hendy, Ahmed S.; Alikhanov, Anatoly A.; Pimenov, Vladimir G.
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CAPD::DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems. Zbl 1473.37004
Kapela, Tomasz; Mrozek, Marian; Wilczak, Daniel; Zgliczyński, Piotr
8
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Uncertain inverse problem for fractional dynamical systems using perturbed collage theorem. Zbl 1455.65113
Salahshour, Soheil; Ahmadian, Ali; Pansera, Bruno A.; Ferrara, Massimiliano
7
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Hidden attractors and multistability in a modified Chua’s circuit. Zbl 1456.34057
Wang, Ning; Zhang, Guoshan; Kuznetsov, N. V.; Bao, Han
7
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Trivariate Mittag-Leffler functions used to solve multi-order systems of fractional differential equations. Zbl 1464.34005
Ahmadova, Arzu; Huseynov, Ismail T.; Fernandez, Arran; Mahmudov, Nazim I.
7
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An integro quadratic spline-based scheme for solving nonlinear fractional stochastic differential equations with constant time delay. Zbl 1455.65017
Moghaddam, B. P.; Mostaghim, Z. S.; Pantelous, Athanasios A.; Machado, J. A. Tenreiro
6
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Optimal control strategies of Zika virus model with mutant. Zbl 1453.92285
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6
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On the size-dependent nonlinear thermo-electro-mechanical free vibration analysis of functionally graded flexoelectric nano-plate. Zbl 1456.74052
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6
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Fractional-order models for the static and dynamic analysis of nonlocal plates. Zbl 1459.74112
Patnaik, Sansit; Sidhardh, Sai; Semperlotti, Fabio
6
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Integrability characteristics of a novel (2+1)-dimensional nonlinear model: Painlevé analysis, soliton solutions, Bäcklund transformation, Lax pair and infinitely many conservation laws. Zbl 1456.35073
Lü, Xing; Hua, Yan-Fei; Chen, Si-Jia; Tang, Xian-Feng
6
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Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients. Zbl 1456.35072
Chen, Si-Jia; Lü, Xing; Tang, Xian-Feng
6
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6
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On non-uniqueness of recovering Sturm-Liouville operators with delay. Zbl 1468.34024
Djurić, Nebojša; Buterin, Sergey
6
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The generalized Duffing oscillator. Zbl 07274921
Kudryashov, Nikolay A.
5
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Enhanced vibration isolation performance of quasi-zero-stiffness isolator by introducing tunable nonlinear inerter. Zbl 1458.74059
Liu, Chaoran; Yu, Kaiping; Liao, Baopeng; Hu, Rongping
5
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The damping accumulated grey model and its application. Zbl 1457.62269
Liu, Lianyi; Chen, Yan; Wu, Lifeng
5
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Designing continuous delay feedback control for lattice hydrodynamic model under cyber-attacks and connected vehicle environment. Zbl 1456.82635
Zhai, Cong; Wu, Weitiao
5
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Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories. Zbl 1461.83073
Christov, Ivan C.; Decker, Robert J.; Demirkaya, A.; Gani, Vakhid A.; Kevrekidis, P. G.; Saxena, Avadh
5
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A novel elastic net-based NGBMC(1,n) model with multi-objective optimization for nonlinear time series forecasting. Zbl 1461.90143
Yu, Lang; Ma, Xin; Wu, Wenqing; Wang, Yong; Zeng, Bo
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A novel modeling of boundary value problems on the glucose graph. Zbl 1466.92244
Baleanu, Dumitru; Etemad, Sina; Mohammadi, Hakimeh; Rezapour, Shahram
5
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Linear energy stable and maximum principle preserving semi-implicit scheme for Allen-Cahn equation with double well potential. Zbl 1471.65110
Wang, Xiuhua; Kou, Jisheng; Gao, Huicai
5
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Nonlinear stability issues for stochastic Runge-Kutta methods. Zbl 1455.65014
D’Ambrosio, Raffaele; Di Giovacchino, Stefano
4
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Kink-antikink collisions in the periodic \(\varphi^4\) model. Zbl 1454.83144
Mohammadi, Mohammad; Dehghani, Rayhaneh
4
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Complex-order particle swarm optimization. Zbl 1454.90116
Tenreiro Machado, J. A.; Abedi Pahnehkolaei, Seyed Mehdi; Alfi, Alireza
4
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Long-term dynamical behavior of the wave model with locally distributed frictional and viscoelastic damping. Zbl 1452.35104
Li, Chan; Liang, Jin; Xiao, Ti-Jun
4
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A robust and contact preserving flux splitting scheme for compressible flows. Zbl 1452.65190
Hu, Lijun; Feng, Sebert
4
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Dynamic transport: from bifurcation to multistability. Zbl 1458.37089
Li, Chunbiao; Chen, Guanrong; Kurths, Jürgen; Lei, Tengfei; Liu, Zuohua
4
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Traveling wave solutions for a diffusive age-structured SIR epidemic model. Zbl 1467.37093
Wu, Shi-Liang; Chen, Linya; Hsu, Cheng-Hsiung
4
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Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian. Zbl 1471.65102
Hu, Dongdong; Cai, Wenjun; Fu, Yayun; Wang, Yushun
4
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Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front. Zbl 1471.65123
Lukyanenko, D. V.; Borzunov, A. A.; Shishlenin, M. A.
4
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A new class of nonlinear superposition between lump waves and other waves for Kadomtsev-Petviashvili I equation. Zbl 1473.35495
Zhang, Zhao; Guo, Qi; Li, Biao; Chen, Junchao
4
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A deep learning improved numerical method for the simulation of rogue waves of nonlinear Schrödinger equation. Zbl 1480.35363
Wang, Rui-Qi; Ling, Liming; Zeng, Delu; Feng, Bao-Feng
4
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Variable-order fractional calculus: a change of perspective. Zbl 1471.26002
Garrappa, Roberto; Giusti, Andrea; Mainardi, Francesco
4
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Modeling the impact of SARS-CoV-2 variants and vaccines on the spread of COVID-19. Zbl 1470.92340
Ramos, A. M.; Vela-Pérez, M.; Ferrández, M. R.; Kubik, A. B.; Ivorra, B.
4
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Analysis of mixed traffic with connected and non-connected vehicles based on lattice hydrodynamic model. Zbl 1453.82048
Zhang, Yicai; Zhao, Min; Sun, Dihua; Wang, Shi hui; Huang, Shuai; Chen, Dong
3
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Investigation of solitons and mixed lump wave solutions with \((3+1)\)-dimensional potential-YTSF equation. Zbl 1456.37078
Younis, Muhammad; Ali, Safdar; Rizvi, Syed Tahir Raza; Tantawy, Mohammad; Tariq, Kalim U.; Bekir, Ahmet
3
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Dynamics of a seasonal brucellosis disease model with nonlocal transmission and spatial diffusion. Zbl 1453.92332
Yang, Junyuan; Xu, Rui; Sun, Hongquan
3
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Lie symmetry analysis, optimal system, new solitary wave solutions and conservation laws of the Pavlov equation. Zbl 1454.35318
Benoudina, Nardjess; Zhang, Yi; Khalique, Chaudry Masood
3
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CAR T cell therapy in B-cell acute lymphoblastic leukaemia: insights from mathematical models. Zbl 1461.92043
León-Triana, Odelaisy; Sabir, Soukaina; Calvo, Gabriel F.; Belmonte-Beitia, Juan; Chulián, Salvador; Martínez-Rubio, Álvaro; Rosa, María; Pérez-Martínez, Antonio; Ramirez-Orellana, Manuel; Pérez-García, Víctor M.
3
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Synchronization analysis of two eccentric rotors with double-frequency excitation considering sliding mode control. Zbl 1453.93041
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3
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Collective behavior of a nearest neighbor coupled system in a dichotomous fluctuating potential. Zbl 1453.82068
Zhang, Lu; Xu, Ling; Yu, Tao; Lai, Li; Zhong, Suchuan
3
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(INVITED) Homoclinic puzzles and chaos in a nonlinear laser model. Zbl 1466.78019
Pusuluri, Krishna; Meijer, H. G. E.; Shilnikov, A. L.
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Bistable labyrinth-like structures and chimera states in a 2D lattice of van der Pol oscillators. Zbl 1456.34035
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Stability analysis in COVID-19 within-host model with immune response. Zbl 1457.92155
Almocera, Alexis Erich S.; Quiroz, Griselda; Hernandez-Vargas, Esteban A.
3
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Dynamical analysis for a reaction-diffusion HFMD model with nonsmooth saturation treatment function. Zbl 1466.92206
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3
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A lever-enhanced nonlinear energy sink absorber harvesting vibratory energy via giant magnetostrictive-piezoelectricity. Zbl 1473.74067
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An unconditionally stable scheme for the Allen-Cahn equation with high-order polynomial free energy. Zbl 1459.65147
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3
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An extended Kudryashov technique for solving stochastic nonlinear models with generalized conformable derivatives. Zbl 1458.60073
Hyder, Abd-Allah; Soliman, Ahmed H.
3
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Introducing phase jump tracking – a fast method for eigenvalue evaluation of the direct Zakharov-Shabat problem. Zbl 1462.35348
Chekhovskoy, Igor; Medvedev, S. B.; Vaseva, I. A.; Sedov, E. V.; Fedoruk, M. P.
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