NOVEL NUMERICAL APPROACH TO SOLITARY–WAVE SOLUTIONS IDENTIFICATION OF BOUSSINESQ AND KORTEWEG–DE VRIES EQUATIONS-Reference-Cited by-同舟云学术

NOVEL NUMERICAL APPROACH TO SOLITARY–WAVE SOLUTIONS IDENTIFICATION OF BOUSSINESQ AND KORTEWEG–DE VRIES EQUATIONS

Published:2005-02 Issue:02 Volume:15 Page:557-565
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

MARINOV TCHAVDAR T.¹,CHRISTOV CHRISTO I.²,MARINOVA ROSSITZA S.³

Affiliation:

1. Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1, Canada

2. Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504-1010, USA

3. Department of Mathematical & Computing Sciences, Concordia University, College of Alberta, Edmonton, AB, Canada T5B 4E4, Canada

Abstract

A special numerical technique has been developed for identification of solitary wave solutions of Boussinesq and Korteweg–de Vries equations. Stationary localized waves are considered in the frame moving to the right. The original ill-posed problem is transferred into a problem of the unknown coefficient from over-posed boundary data in which the trivial solution is excluded. The Method of Variational Imbedding is used for solving the inverse problem. The generalized sixth-order Boussinesq equation is considered for illustrations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127405012211

Reference15 articles.

1. C. I. Christov, Fluid Physics, eds. M. G. Velarde and C. I. Christov (World Scientific, Singapore, 1995) pp. 403–422.

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