Christov-galerkin expansion for localized solutions in model equations with higher order dispersion

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We develop a Galerkin spectral technique for computing localized solutions of equations with higher order dispersion. To this end, the complete orthonormal system of functions in L2(-∞,∞) proposed by Christov [1] is used. As a featuring example, the Sixth-Order Generalized Boussinesq Equation (6GBE) is investigated whose solutions comprise monotone shapes (sech-es) and damped oscillatory shapes (Kawahara solitons). Localized solutions are obtained here numerically for the case of the moving frame which are used as initial conditions for the time dependent problem.

Original languageEnglish
Title of host publicationAPPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS'33
Subtitle of host publication33rd International Conference
Pages91-98
Number of pages8
Volume946
DOIs
Publication statusPublished - 2007
Event33rd International Conference on Applications of Mathematics in Engineering and Economics - Sozopol, Bulgaria
Duration: 8 Jun 200714 Jun 2007

Other

Other33rd International Conference on Applications of Mathematics in Engineering and Economics
Country/TerritoryBulgaria
CitySozopol
Period8/06/0714/06/07

Keywords

  • Boussinesq equation
  • CCON system
  • Christov-Galerkin
  • Spectral methods

Fingerprint

Dive into the research topics of 'Christov-galerkin expansion for localized solutions in model equations with higher order dispersion'. Together they form a unique fingerprint.

Cite this