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

Marwan Alquran, Edamana V. Krishnan

Research output: Contribution to journalArticle

3 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 languageEnglish
Pages (from-to)639-649
Number of pages11
JournalNonlinear Studies
Volume23
Issue number4
Publication statusPublished - 2016

Fingerprint

sine-Gordon equation
Hyperbolic functions
Nonlinear Wave Equation
Wave equations
Solitons
Nonlinear equations
Hyperbolic function
Sine-Gordon Equation
Circular function
Solitary Wave Solution
Threefolds
Wave equation
Nonlinear Equations

Keywords

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

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

Cite this

Applications of sine-gordon expansion method for a reliable treatment of some nonlinear wave equations. / Alquran, Marwan; Krishnan, Edamana V.

In: Nonlinear Studies, Vol. 23, No. 4, 2016, p. 639-649.

Research output: Contribution to journalArticle

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