Solitary waves and conservation laws of Bona-Chen equations

A. Biswas*, E. V. Krishnan, P. Suarez, A. H. Kara, S. Kumar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)

Abstract

This paper obtains the solitary wave solution of the Bona-Chen equation which is a coupled system of nonlinear evolution equation that arises in the study of shallow water waves flow. The ansatz method and Jacobi elliptic function method are used to obtain the solutions. The conservation law of the equation is obtained by the multiplier method. Finally, the numerical simulations are also given.

Original languageEnglish
Pages (from-to)169-175
Number of pages7
JournalIndian Journal of Physics
Volume87
Issue number2
DOIs
Publication statusPublished - Feb 2013

Keywords

  • Cnoidal waves
  • Integrability
  • Solitary waves

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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