Fourier-Galerkin method for 2D solitons of Boussinesq equation

M. A. Christou, C. I. Christov

Research output: Contribution to journalArticlepeer-review

Abstract

We develop a Fourier-Galerkin spectral technique for computing the stationary solutions of 2D generalized wave equations. To this end a special complete orthonormal system of functions in L2 (- ∞, ∞) is used for which product formula is available. The exponential rate of convergence is shown. As a featuring example we consider the Proper Boussinesq Equation (PBE) in 2D and obtain the shapes of the stationary propagating localized waves. The technique is thoroughly validated and compared to other numerical results when possible.

Original languageEnglish
Pages (from-to)82-92
Number of pages11
JournalMathematics and Computers in Simulation
Volume74
Issue number2-3
DOIs
Publication statusPublished - 7 Mar 2007

Keywords

  • Boussinesq equation
  • Galerkin spectral method
  • Solitons

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