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Multi-symplectic method for generalized Boussinesq equation

โœ 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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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.

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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