Solitary waves and conservation laws of Bona-Chen equations

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

Research output: Contribution to journalArticle

27 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

Fingerprint

conservation laws
solitary waves
nonlinear evolution equations
water waves
elliptic functions
multipliers
shallow water
simulation

Keywords

  • Cnoidal waves
  • Integrability
  • Solitary waves

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Solitary waves and conservation laws of Bona-Chen equations. / Biswas, A.; Krishnan, E. V.; Suarez, P.; Kara, A. H.; Kumar, S.

In: Indian Journal of Physics, Vol. 87, No. 2, 02.2013, p. 169-175.

Research output: Contribution to journalArticle

Biswas, A. ; Krishnan, E. V. ; Suarez, P. ; Kara, A. H. ; Kumar, S. / Solitary waves and conservation laws of Bona-Chen equations. In: Indian Journal of Physics. 2013 ; Vol. 87, No. 2. pp. 169-175.
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