Topological solitons, cnoidal waves and conservation laws of coupled wave equations

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

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper a few coupled wave equations that arise in the dynamics of two-layered shallow water waves in ocean shores and beaches have been studied. The mapping method is applied to extract cnoidal waves and solitary wave solutions to the coupled Korteweg-de Vries (KdV) equation, coupled Boussinesq equation and the coupled Whitham-Broer-Kaup equation. The ansatz method is also applied to obtain topological 1-solution to the coupled KdV equation with power law nonlinearity. The multiplier method then gives a few conserved quantities of the coupled KdV equation.

Original languageEnglish
Pages (from-to)1233-1241
Number of pages9
JournalIndian Journal of Physics
Volume87
Issue number12
DOIs
Publication statusPublished - Dec 2013

Fingerprint

cnoidal waves
conservation laws
wave equations
solitary waves
water waves
beaches
multipliers
shallow water
oceans
nonlinearity

Keywords

  • Boussinesq equation
  • Jacobi elliptic functions
  • Korteweg-de Vries equation
  • Soliton solutions
  • Travelling wave solutions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Topological solitons, cnoidal waves and conservation laws of coupled wave equations. / Krishnan, E. V.; Kara, A. H.; Kumar, S.; Biswas, A.

In: Indian Journal of Physics, Vol. 87, No. 12, 12.2013, p. 1233-1241.

Research output: Contribution to journalArticle

Krishnan, E. V. ; Kara, A. H. ; Kumar, S. ; Biswas, A. / Topological solitons, cnoidal waves and conservation laws of coupled wave equations. In: Indian Journal of Physics. 2013 ; Vol. 87, No. 12. pp. 1233-1241.
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