Travelling wave-like solutions of the Zakharov-Kuznetsov equation with variable coefficients

Yan Ze Peng, E. V. Krishnan, Hui Feng

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Travelling wave-like solutions of the Zakharov-Kuznetsov equation with variable coefficients are studied using the solutions of Raccati equation. The solitary wave-like solution, the trigonometric periodic wave solution and the rational wave solution are obtained with a constraint between coefficients. The property of the solutions is numerically investigated. It is shown that the coefficients of the equation do not change the wave amplitude, but may change the wave velocity.

Original languageEnglish
Pages (from-to)49-55
Number of pages7
JournalPramana - Journal of Physics
Volume71
Issue number1
DOIs
Publication statusPublished - Jul 2008

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Keywords

  • Raccati equation
  • Travelling wave solution
  • Zakharov-Kuznetsov equation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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