Numerical investigation for the solitary waves interaction of the "good&" Boussinesq equation

Authors:
H. El-Zoheiry
Affiliations:
Department of Engineering Mathematics and Physics, Faculty of Engineering, Cairo University, Giza, Egypt
Venue:
Applied Numerical Mathematics
Year:
2003

Citing 1
Cited 3

The long wave limit for a Boussinesq equation

SIAM Journal on Applied Mathematics

New conservative schemes with discrete variational derivatives for nonlinear wave equations

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Solitary-wave propagation and interactions for the 'good' Boussinesq equation

International Journal of Computer Mathematics
Local structure-preserving algorithms for the "good" Boussinesq equation

Journal of Computational Physics

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Abstract

The "good" Boussinesq equation is studied numerically using an iterative implicit finite-difference scheme. The stability and accuracy of the proposed method are discussed. Soliton Solutions are shown to exist for a finite range of amplitude size. The features of break-up and blow-up of solution are also witnessed. The reported results are in conformity with the available results.