Multi-symplectic method for generalized Boussinesq equation
โ Scribed by Wei-peng Hu; Zi-chen Deng
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 360 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0253-4827
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๐ SIMILAR VOLUMES
The Hamiltonian and the multi-symplectic formulations of the nonlinear SchrGdinger equation are considered. For the multi-symplectic formulation, a new six-point difference scheme which is equivalent to the multi-symplectic Preissman integrator is derived. Numerical experiments are also reported.
A number of conservative PDEs, like various wave equations, allow for a multisymplectic formulation which can be viewed as a generalization of the symplectic structure of Hamiltonian ODEs. We show that Gauss-Legendre collocation in space and time leads to multi-symplectic integrators, i.e., to numer