Solitary-wave propagation and interactions for a sixth-order generalized Boussinesq equation

Bao-Feng Feng, Takuji Kawahara, Taketomo Mitsui and Youn-Sha Chan

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-14

Abstract:

We study the solitary waves and their interaction for a six-order generalized Boussinesq equation (SGBE) both numerically and analytically. A shooting method with appropriate initial conditions, based on the phase plane analysis around the equilibrium point, is used to construct the solitary-wave solutions for this nonintegrable equation. A symmetric three-level implicit finite difference scheme with a free parameter θ is proposed to study the propagation and interactions of solitary waves. Numerical simulations show the propagation of a single solitary wave of SGBE, and two solitary waves pass by each other without changing their shapes in the head-on collisions.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:282585

DOI: 10.1155/IJMMS.2005.1435

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