The extended tanh method and its applications for solving nonlinear physical models
MA Abdou - Applied mathematics and computation, 2007 - Elsevier
The extended tanh method with a computerized symbolic computation is used for
constructing the travelling wave solutions of coupled nonlinear equations arising in physics …
constructing the travelling wave solutions of coupled nonlinear equations arising in physics …
[HTML][HTML] Extracting the exact solitons of time-fractional three coupled nonlinear Maccari's system with complex form via four different methods
Z Chen, J Manafian, M Raheel, A Zafar, F Alsaikhan… - Results in Physics, 2022 - Elsevier
This current research is considered some new exact soliton solutions to the time-fractional
three coupled non-linear Maccari's system in complex form with novel truncated M-fractional …
three coupled non-linear Maccari's system in complex form with novel truncated M-fractional …
Optical solitons of nonlinear complex Ginzburg–Landau equation via two modified expansion schemes
This article examines the complex Ginzburg–Landau equation with the beta time derivative
and analyze its optical solitons and other solutions in the appearance of a detuning factor in …
and analyze its optical solitons and other solutions in the appearance of a detuning factor in …
Auto-Bäcklund transformations, bilinear forms, multiple-soliton, quasi-soliton and hybrid solutions of a (3+ 1)-dimensional modified Korteweg-de Vries-Zakharov …
TY Zhou, B Tian, CR Zhang, SH Liu - The European Physical Journal Plus, 2022 - Springer
Electron-positron plasmas appear in the early Universe and many cosmic environments. In
this paper, a (3+ 1)-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov equation …
this paper, a (3+ 1)-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov equation …
Optical solitons with complex Ginzburg–Landau equation
The paper revisits in a systematic way the complex Ginzburg–Landau equation with Kerr
and power law nonlinearities. Several integration techniques are applied to retrieve various …
and power law nonlinearities. Several integration techniques are applied to retrieve various …
An improved (G′/G)-expansion method for solving nonlinear evolution equations
J Zhang, F Jiang, X Zhao - International Journal of Computer …, 2010 - Taylor & Francis
An improved (G′/G)-expansion method is proposed to seek more general travelling wave
solutions of nonlinear evolution equations. We choose the Zakharov–Kuznetsov–BBM …
solutions of nonlinear evolution equations. We choose the Zakharov–Kuznetsov–BBM …
Simple equations method (SEsM): Algorithm, connection with Hirota method, inverse scattering transform method, and several other methods
NK Vitanov, ZI Dimitrova, KN Vitanov - Entropy, 2020 - mdpi.com
The goal of this article is to discuss the Simple Equations Method (SEsM) for obtaining exact
solutions of nonlinear partial differential equations and to show that several well-known …
solutions of nonlinear partial differential equations and to show that several well-known …
Analytical study of complex Ginzburg–Landau equation arising in nonlinear optics
In this paper, some optical solitons and other solutions of the Complex Ginzburg–Landau
(CGL) equation with the beta time derivative are analyzed in nonlinear optics. The kink …
(CGL) equation with the beta time derivative are analyzed in nonlinear optics. The kink …
Stationary optical solitons with Kudryashov's quintuple power law nonlinearity by extended Jacobi's elliptic function expansion
M Ekici - Journal of Nonlinear Optical Physics & Materials, 2023 - World Scientific
This paper recovers stationary optical solitons with Kudryashov's, lately proposed, nonlinear
refractive index structure having quintuple power laws. The extended Jacobi's elliptic …
refractive index structure having quintuple power laws. The extended Jacobi's elliptic …
Wave propagation to the doubly dispersive equation and the improved Boussinesq equation
In this paper, we examine the optical solitons for the nonlinear doubly dispersive equation
and the modified Boussinesq equation, which explain the flow of shallow water in a small …
and the modified Boussinesq equation, which explain the flow of shallow water in a small …