Traveling wave solutions using the variational method and the tanh method for nonlinear coupled equations

Kamel Al-Khaled, Mohammed Al-Refai, Ameen Alawneh

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

This paper applied both the tanh and the He's variational iteration methods for analytic study for the nonlinear coupled Kortewge-de Vries (shortly, KdV) equations. Compared with existing sophisticated approaches, the proposed methods gives more general exact traveling wave solutions without much extra effort. Finally, we present an application to shallow water equations using the two methods, the calculations demonstrate the effectiveness and convenience of the He's variational method for nonlinear coupled equations.

Original languageEnglish
Pages (from-to)233-242
Number of pages10
JournalApplied Mathematics and Computation
Volume202
Issue number1
DOIs
Publication statusPublished - Aug 1 2008

Fingerprint

The Tanh Method
Traveling Wave Solutions
Variational Methods
Variational Iteration Method
Shallow Water Equations
KdV Equation
Water
Demonstrate

Keywords

  • Coupled KdV equations
  • Shallow water equations
  • tanh method
  • Traveling wave solutions
  • Variational iteration method

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Cite this

Traveling wave solutions using the variational method and the tanh method for nonlinear coupled equations. / Al-Khaled, Kamel; Al-Refai, Mohammed; Alawneh, Ameen.

In: Applied Mathematics and Computation, Vol. 202, No. 1, 01.08.2008, p. 233-242.

Research output: Contribution to journalArticle

Al-Khaled, Kamel ; Al-Refai, Mohammed ; Alawneh, Ameen. / Traveling wave solutions using the variational method and the tanh method for nonlinear coupled equations. In: Applied Mathematics and Computation. 2008 ; Vol. 202, No. 1. pp. 233-242.
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