Application of Exp-function method for nonlinear evolution equations with variable coefficients

SA El-Wakil, MA Madkour, MA Abdou - Physics Letters A, 2007 - Elsevier
In this Letter, the Exp-function method with the aid of symbolic computational system Maple
is used to obtain generalized solitary solutions and periodic solutions of a generalized …

[HTML][HTML] Solitary and periodic wave solutions of (2+ 1)-dimensions of dispersive long wave equations on shallow waters

AA Gaber - Journal of Ocean Engineering and Science, 2021 - Elsevier
Abstract In this investigation, the (2+ 1)-dimensions of dispersive long wave equations on
shallow waters which are called Wu-Zhang (WZ) equations are studied by using symmetry …

[HTML][HTML] Exact solutions for Calogero–Bogoyavlenskii–Schiff equation using symmetry method

GM Moatimid, RM El-Shiekh… - Applied Mathematics and …, 2013 - Elsevier
In this paper, the symmetry method has been carried over to the Calogero–Bogoyavlenskii–
Schiff equation. The infinitesimal symmetries and six basic linear combinations of the vector …

Analytical treatment of some partial differential equations arising in mathematical physics by using the Exp-function method

M Dehghan, J Manafian… - International Journal of …, 2011 - World Scientific
The Exp-function method with the aid of symbolic computational system can be used to
obtain the generalized solitary solutions and periodic solutions for nonlinear evolution …

Symmetry and similarity solutions of variable coefficients generalized Zakharov–Kuznetsov equation

Z Yan, X Liu - Applied mathematics and computation, 2006 - Elsevier
In this paper we propose a compatibility method of finding symmetry and similarity reduction
of partial differential equations. Being a simple example, the (2+ 1)-dimensional variable …

[HTML][HTML] Conservation laws and exact solutions of a generalized Zakharov–Kuznetsov equation

DM Mothibi, CM Khalique - Symmetry, 2015 - mdpi.com
In this paper, we study a generalized Zakharov–Kuznetsov equation in three variables,
which has applications in the nonlinear development of ion-acoustic waves in a magnetized …

Management of modulated wave solitons in a two-dimensional nonlinear transmission network

E Kengne, WM Liu - The European Physical Journal B, 2019 - Springer
Based on a modified one-dimensional Noguchi electrical transmission network containing a
linear dispersive element CS with a voltage source and a one-dimensional series capacitor …

Symmetry group analysis and similarity solutions for the (2+ 1)‐dimensional coupled Burger's system

MF El‐Sayed, GM Moatimid… - … Methods in the …, 2014 - Wiley Online Library
Symmetry group analysis and similarity reduction of nonlinear system of coupled Burger
equations in the form of nonlinear partial differential equation are analyzed via symmetry …

Similarity Solutions for Generalized Variable Coefficients Zakharov—Kuznetsov Equation under Some Integrability Conditions

MHM Moussa, RM El-Shiekh - Communications in Theoretical …, 2010 - iopscience.iop.org
In this paper, the symmetry method has been carried over to the generalized variable
coefficients Zakharov—Kuznetsov equation. The infinitesimal symmetries and the optimal …

Exact travelling wave solutions for the Zakharov–Kuznetsov equation

YZ Peng - Applied Mathematics and Computation, 2008 - Elsevier
The travelling wave solution for the Zakharov–Kuznetsov equation is studied by means of
the extended map** method. A diversity of travelling periodic wave solutions in terms of …