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

M. A. Christou; C. I. Christov

doi:10.1063/1.1900393

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

M. A. Christou, C. I. Christov

Department of Computer Science

University of Louisiana at Lafayette

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	70-77
Number of pages	8
Journal	AIP Conference Proceedings
Volume	755
DOIs	https://doi.org/10.1063/1.1900393
Publication status	Published - 31 Mar 2005

Keywords

Galerkin Spectral Method

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10.1063/1.1900393

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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.",

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AB - 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.

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

Abstract

Keywords

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