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 …

[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 …

Optical solitons of nonlinear complex Ginzburg–Landau equation via two modified expansion schemes

A Zafar, M Shakeel, A Ali, L Akinyemi… - Optical and Quantum …, 2022 - Springer
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 …

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 …

Optical solitons with complex Ginzburg–Landau equation

M Mirzazadeh, M Ekici, A Sonmezoglu, M Eslami… - Nonlinear …, 2016 - Springer
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 …

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 …

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 …

Analytical study of complex Ginzburg–Landau equation arising in nonlinear optics

A Zafar, M Shakeel, A Ali, H Rezazadeh… - Journal of Nonlinear …, 2023 - World Scientific
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 …

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 …

Wave propagation to the doubly dispersive equation and the improved Boussinesq equation

S Ibrahim, TA Sulaiman, A Yusuf, DU Ozsahin… - Optical and Quantum …, 2024 - Springer
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 …