@Article{JCM-21-6, author = {Lang-Yang, Huang and Zeng, Wen-Ping and Qin, Meng-Zhao}, title = {A New Multi-Symplectic Scheme for Nonlinear "Good" Boussinesq Equation}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {6}, pages = {703--714}, abstract = {
The Hamiltonian formulations of the linear "good" Boussinesq (L.G.B.) equationn and the multi-symplectic formulation of the nonlinear "good" Boussinesq (N.G.B.) equation are considered. For the multi-symplectic formulation, a new fifteen-point difference scheme which is equivalent to the multi-symplectic Preissmann integrator is derived. We also present numerical experiments, which show that the symplectic and multi-symplectic schemes have excellent long-time numerical behavior.
}, issn = {1991-7139}, doi = {https://doi.org/2003-JCM-8891}, url = {https://global-sci.com/article/85367/a-new-multi-symplectic-scheme-for-nonlinear-good-boussinesq-equation} }