Fourier-Galerkin method for localized solutions of the Sixth-Order Generalized Boussinesq Equation

M. A. Christou, C. I. Christov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

A complete orthonormal system of functions in L2 (-∞ ∞) is used as a basis function in a Fourier-Galerkin spectral technique for computing localized solutions. The Sixth-Order Generalized Boussinesq Equation is featured whose solutions comprise monotone shapes (sech-es) and damped oscillatory shapes (Kawahara solitons). Localized solutions are obtained here numericall and shown to agree quantitatively very well to the known analytical and/or numerical ones. The rate of convergence and truncation error are thoroughly examined.

Original languageEnglish
Title of host publicationProceedings of the International Conference on Dynamical Systems and Differential Equations
PublisherAmerican Institute of Mathematical Sciences
Pages121-130
Number of pages10
EditionSPEC. ISSUE
Publication statusPublished - 2001
Event2000 International Conference on Dynamical Systems and Differential Equations - Atlanta, GA, United States
Duration: 18 May 200021 May 2000

Other

Other2000 International Conference on Dynamical Systems and Differential Equations
CountryUnited States
CityAtlanta, GA
Period18/05/0021/05/00

Fingerprint Dive into the research topics of 'Fourier-Galerkin method for localized solutions of the Sixth-Order Generalized Boussinesq Equation'. Together they form a unique fingerprint.

  • Cite this

    Christou, M. A., & Christov, C. I. (2001). Fourier-Galerkin method for localized solutions of the Sixth-Order Generalized Boussinesq Equation. In Proceedings of the International Conference on Dynamical Systems and Differential Equations (SPEC. ISSUE ed., pp. 121-130). American Institute of Mathematical Sciences.