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

Access to Document

10.1063/1.1900393

Cite this

@article{34db67d987db420eaa5c2cc52a41f385,

title = "Fourier-Galerkin method for time dependent problems of interacting localized waves",

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.",

keywords = "Galerkin Spectral Method",

author = "Christou, \{M. A.\} and Christov, \{C. I.\}",

year = "2005",

month = mar,

day = "31",

doi = "10.1063/1.1900393",

language = "English",

volume = "755",

pages = "70--77",

journal = "AIP Conference Proceedings",

issn = "0094-243X",

publisher = "American Institute of Physics",

}

TY - JOUR

T1 - Fourier-Galerkin method for time dependent problems of interacting localized waves

AU - Christou, M. A.

AU - Christov, C. I.

PY - 2005/3/31

Y1 - 2005/3/31

N2 - 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.

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.

KW - Galerkin Spectral Method

UR - https://www.scopus.com/pages/publications/33748536769

U2 - 10.1063/1.1900393

DO - 10.1063/1.1900393

M3 - Article

AN - SCOPUS:33748536769

SN - 0094-243X

VL - 755

SP - 70

EP - 77

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this