2D solitons in Boussinesq equation with dissipation

Kyriakos Christou, Marios A. Christou

Research output: Contribution to journalArticlepeer-review

Abstract

We investigate numerically the stationary solutions of 2D Boussinesq type wave equations with square and cubic nonlinearity. In the model equation dissipation is added and we investigate the physical properties of the problem. To investigate and study the problem we implement the Christov spectral technique in L2(- ∞, ∞). The method was found to be accurate and computationally efficient in other works of the author, mainly in 1D problems.

Original languageEnglish
Pages (from-to)513-523
Number of pages11
JournalComputational and Applied Mathematics
Volume36
Issue number1
DOIs
Publication statusPublished - 1 Mar 2017

Keywords

  • Boussinesq equations
  • Solitons
  • Spectral method

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