Applications of sine-gordon expansion method for a reliable treatment of some nonlinear wave equations

Marwan Alquran; Edamana V. Krishnan

Applications of sine-gordon expansion method for a reliable treatment of some nonlinear wave equations

Marwan Alquran^*, Edamana V. Krishnan

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

This aim of this paper is threefold. A survey of trigonometric-hyperbolic function methods for constructing solitary wave solutions of nonlinear equations. Further analysis of the sine-Gordon expansion method. Studying the solution of the generalized PHI-four equation and the generalized regularized long wave equation by using a special transformation derived from the Sine-Gordon equation.

Original language	English
Pages (from-to)	639-649
Number of pages	11
Journal	Nonlinear Studies
Volume	23
Issue number	4
Publication status	Published - 2016

Keywords

Sine-Gordon expansion method
The PHI-four equation
The generalized regularized long wave equation

ASJC Scopus subject areas

Modelling and Simulation
Applied Mathematics

Cite this

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abstract = "This aim of this paper is threefold. A survey of trigonometric-hyperbolic function methods for constructing solitary wave solutions of nonlinear equations. Further analysis of the sine-Gordon expansion method. Studying the solution of the generalized PHI-four equation and the generalized regularized long wave equation by using a special transformation derived from the Sine-Gordon equation.",

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AU - Krishnan, Edamana V.

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Y1 - 2016

N2 - This aim of this paper is threefold. A survey of trigonometric-hyperbolic function methods for constructing solitary wave solutions of nonlinear equations. Further analysis of the sine-Gordon expansion method. Studying the solution of the generalized PHI-four equation and the generalized regularized long wave equation by using a special transformation derived from the Sine-Gordon equation.

AB - This aim of this paper is threefold. A survey of trigonometric-hyperbolic function methods for constructing solitary wave solutions of nonlinear equations. Further analysis of the sine-Gordon expansion method. Studying the solution of the generalized PHI-four equation and the generalized regularized long wave equation by using a special transformation derived from the Sine-Gordon equation.

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KW - The PHI-four equation

KW - The generalized regularized long wave equation

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Applications of sine-gordon expansion method for a reliable treatment of some nonlinear wave equations

Abstract

Keywords

ASJC Scopus subject areas

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