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

Autor: Bao-Feng Feng, Takuji Kawahara, Taketomo Mitsui, Youn-Sha Chan
Jazyk: angličtina
Rok vydání: 2005
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 2005, Iss 9, Pp 1435-1448 (2005)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
DOI: 10.1155/IJMMS.2005.1435
Popis: 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.
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