Lie group of transformations for a KdV-Boussinesq equation

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Abstract

We consider a combined Korteweg-deVries and Boussinesq equation governing long surface waves in shallow water. Considering traveling wave solutions, the basic equations will be reduced to a second order ordinary differential equation. Using the Lie group of transformations we reduce it to a first order ordinary differential equation and employ a direct method to derive its periodic solutions in terms of Jacobian elliptic functions and their corresponding solitary wave and explode decay mode solutions.

Original languageEnglish
Pages (from-to)99-105
Number of pages7
JournalCzechoslovak Journal of Physics
Volume53
Issue number2
DOIs
Publication statusPublished - Feb 2003

Keywords

  • Explode decay mode solutions
  • Jacobian elliptic functions
  • KdV-Boussinesq equation
  • Solitary wave solutions
  • Travelling wave solutions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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