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Volume 21, Issue 6
A New Multi-Symplectic Scheme for Nonlinear "Good" Boussinesq Equation

Lang-Yang Huang, Wen-Ping Zeng & Meng-Zhao Qin

J. Comp. Math., 21 (2003), pp. 703-714.

Published online: 2003-12

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  • 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.

  • Keywords

Nonlinear "good" Boussinesq equation, Multi-symplectic, Preissmann integrator, Conservation law.

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COPYRIGHT: © Global Science Press

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@Article{JCM-21-703, author = {Huang , Lang-YangZeng , 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/}, url = {http://global-sci.org/intro/article_detail/jcm/8891.html} }
TY - JOUR T1 - A New Multi-Symplectic Scheme for Nonlinear "Good" Boussinesq Equation AU - Huang , Lang-Yang AU - Zeng , Wen-Ping AU - Qin , Meng-Zhao JO - Journal of Computational Mathematics VL - 6 SP - 703 EP - 714 PY - 2003 DA - 2003/12 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8891.html KW - Nonlinear "good" Boussinesq equation, Multi-symplectic, Preissmann integrator, Conservation law. AB -

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.

Huang , Lang-YangZeng , Wen-Ping and Qin , Meng-Zhao. (2003). A New Multi-Symplectic Scheme for Nonlinear "Good" Boussinesq Equation. Journal of Computational Mathematics. 21 (6). 703-714. doi:
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