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 …

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 rational and double-soliton rational solutions governed by the KdV–Sawada–Kotera–Ramani equation with variable coefficients

MS Osman - Nonlinear Dynamics, 2017 - Springer
In this work, we construct rational and double-soliton rational solutions of the KdV–Sawada–
Kotera–Ramani equation with variable coefficients by using the unified method and its …

Soliton solutions and sensitive analysis of modified equal-width equation using fractional operators

MB Riaz, A Wojciechowski, GI Oros, RU Rahman - Symmetry, 2022 - mdpi.com
In this manuscript, the novel auxiliary equation methodology (NAEM) is employed to
scrutinize various forms of solitary wave solutions for the modified equal-width wave (MEW) …

Wave interactions and structures of (4+ 1)-dimensional Boiti–Leon–Manna–Pempinelli equation

CR Jisha, RK Dubey - Nonlinear Dynamics, 2022 - Springer
This article characterizes nonlinear wave propagation in an incompressible fluid by
investigating an exact unique solution of the (4+ 1)-dimensional Boiti–Leon–Manna …

Exact solutions for a class of nonlinear partial differential equations using exp-function method

A Bekir, A Boz - International Journal of Nonlinear Sciences and …, 2007 - degruyter.com
In this paper, the Exp-function method is used to construct solitary and soliton solutions of
nonlinear partial differential equations. Phi-Four equation, Duffing equation, Landau …

Homogeneous balance method and auxiliary equation method as particular cases of simple equations method (SEsM)

ZI Dimitrova, KN Vitanov - AIP Conference Proceedings, 2021 - pubs.aip.org
Homogeneous balance method and auxiliary equation method as particular cases of simple
equations method (SEsM) | AIP Conference Proceedings | AIP Publishing Skip to Main Content …

[HTML][HTML] Exact solutions of modified Zakharov–Kuznetsov equation by the homogeneous balance method

M Eslami, M Mirzazadeh - Ain Shams Engineering Journal, 2014 - Elsevier
In this article, the homogeneous balance method is used to construct exact traveling wave
solutions for the modified Zakharov–Kuznetsov equation using the Riccati equation. This …

[PDF][PDF] Explicit solutions to the Sharma-Tasso-Olver equation

MA Abdou, L Ouahid, S Owyed, AM Abdel-Baset… - AIMS Math, 2020 - aimspress.com
We present new exact traveling wave solutions of generalized Sharma-Tasso-Olver (STO)
with variable coefficients using three different methods, namely the extended F-expansion …

New exact travelling wave solutions of two nonlinear physical models

SA El-Wakil, MA Abdou - Nonlinear Analysis: Theory, Methods & …, 2008 - Elsevier
In this paper, an improved tanh function method is used with a computerized symbolic
computation for constructing new exact travelling wave solutions on two nonlinear physical …