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

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


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
Issue number12
Publication statusPublished - Dec 2013


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

ASJC Scopus subject areas

  • General Physics and Astronomy


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