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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 …
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 …
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
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 …
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 …
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 …
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
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 …
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 …
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
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 …
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
In this paper, the symmetry method has been carried over to the generalized variable
coefficients Zakharov—Kuznetsov equation. The infinitesimal symmetries and the optimal …
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 …
the extended map** method. A diversity of travelling periodic wave solutions in terms of …