Soliton solutions of the long-short wave equation with power law nonlinearity

Manel Labidi, Houria Triki, E. V. Krishnan, Anjan Biswas

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

This paper studies the generalized long-short wave equation with power law nonlinearity. There are several approaches that are used to solve this coupled system nonlinear evolution equations. The series solution approach yields the topological 1-soliton solution or shock wave solution. The ansatz method and the semiinverse variational principle leads to the non-topological 1-soliton of the equation. Additionally, the variational iteration method is used to study the equation. Finally, numerical simulations are also given to this equation.

Original languageEnglish
Pages (from-to)125-140
Number of pages16
JournalJournal of Applied Nonlinear Dynamics
Volume1
Issue number2
DOIs
Publication statusPublished - Jan 1 2012

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Wave equations
Solitons
Shock waves
Nonlinear systems
Computer simulation

Keywords

  • Analytic
  • Integrability
  • Numerical simulations
  • Solitons

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mechanical Engineering

Cite this

Soliton solutions of the long-short wave equation with power law nonlinearity. / Labidi, Manel; Triki, Houria; Krishnan, E. V.; Biswas, Anjan.

In: Journal of Applied Nonlinear Dynamics, Vol. 1, No. 2, 01.01.2012, p. 125-140.

Research output: Contribution to journalArticle

Labidi, Manel ; Triki, Houria ; Krishnan, E. V. ; Biswas, Anjan. / Soliton solutions of the long-short wave equation with power law nonlinearity. In: Journal of Applied Nonlinear Dynamics. 2012 ; Vol. 1, No. 2. pp. 125-140.
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