Galerkin spectral method for the 2D solitary waves of Boussinesq paradigm equation

M. A. Christou, C. I. Christov

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We consider the 2D stationary propagating solitary waves of the so-called Boussinesq Paradigm equation. The fourth- order elliptic boundary value problem on infinite interval is solved by a Galerkin spectral method. An iterative procedure based on artificial time ('false transients') and operator splitting is used. Results are obtained for the shapes of the solitary waves for different values of the dispersion parameters for both subcritical and supercritical phase speeds.

Original languageEnglish
Pages (from-to)217-225
Number of pages9
JournalAIP Conference Proceedings
Volume1186
DOIs
Publication statusPublished - 2009

Keywords

  • Boussinesq equation
  • CON system
  • Operator splitting
  • Spectral methods

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