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- Title
Multi-symplectic method for generalized Boussinesq equation.
- Authors
Wei-peng Hu; Zi-chen Deng
- Abstract
The generalized Boussinesq equation that represents a group of important nonlinear equations possesses many interesting properties. Multi-symplectic formulations of the generalized Boussinesq equation in the Hamilton space are introduced in this paper. And then an implicit multi-symplectic scheme equivalent to the multi-symplectic Box scheme is constructed to solve the partial differential equations (PDEs) derived from the generalized Boussinesq equation. Finally, the numerical experiments on the soliton solutions of the generalized Boussinesq equation are reported. The results show that the multi-symplectic method is an efficient algorithm with excellent long-time numerical behaviors for nonlinear partial differential equations.
- Subjects
EQUATIONS; HAMILTON spaces; PARTIAL differential equations; SOLITONS; ALGORITHMS
- Publication
Applied Mathematics & Mechanics, 2008, Vol 29, Issue 7, p927
- ISSN
0253-4827
- Publication type
Article
- DOI
10.1007/s10483-008-0711-3