Solitary-wave propagation and interactions for a sixth-order generalized Boussinesq equation
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 parameterθis 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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jan 01, 2005
- Source ID
- 10.1155/ijmms.2005.1435
Entities
People
- Bao-feng Feng
- Taketomo Mitsui
- Takuji Kawahara
- Youn-sha Chan
Organizations
- Army Research Office
- Kyoto University
- Nagoya University
- University of Houston–Downtown
- University of Texas–Pan American