Abstract
The multi-symplectic formulations of the “Good” Boussinesq equation were considered. For the multi-symplectic formulation, a new fifteen-point difference scheme which is equivalent to the multi-symplectic Preissman integrator was derived. The numerical experiments show that the multi-symplectic scheme have excellent long-time numerical behavior.
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Communicated by LIN Zong-chi
Foundation items: the Foundation for Key Laboratory of Scientific/Engineering Computing Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences; the Natural Science Foundation of Huaqiao University.
Biography: ZENG Wen-ping (1940-), Professor (E-mail: qmz@1sec.cc.ac.cn)
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Wen-ping, Z., Lang-yang, H. & Meng-zhao, Q. The multi-symplectic algorithm for “Good” Boussinesq equation. Appl Math Mech 23, 835–841 (2002). https://doi.org/10.1007/BF02456980
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DOI: https://doi.org/10.1007/BF02456980