Fourier-Galerkin method for time dependent problems of interacting localized waves

M. A. Christou, C. I. Christov

Research output: Contribution to journalArticle

Abstract

We develop a Fourier-Galerkin spectral technique for computing solutions of type of interacting localized waves. We use a special complete orthonormal system of functions in L 2(-∞, ∞). The rate of convergence of the coefficients is shown to be exponential. As a featured example we consider the Boussinesq Paradigm Equation (BPE). We obtain results for the head-on and overtaking collisions of two or three solitons. We evaluate also the phase shifts of solitons.

Original languageEnglish
Pages (from-to)70-77
Number of pages8
JournalAIP Conference Proceedings
Volume755
DOIs
Publication statusPublished - 31 Mar 2005

Keywords

  • Galerkin Spectral Method

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