The Multi-Symplectic Algorithm for “Good” Boussinesq Equation

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-sympl...

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Bibliographic Details
Published in:Applied mathematics and mechanics 2002-07, Vol.23 (7), p.835-841
Main Author: ZENG Wen-ping(曾文平) HUANG Lang-yang(黄浪扬) QIN Meng-zhao(秦孟兆)
Format: Article
Language:English
Subjects:
"Good"
Boussinesq
conservation
equation
law
multi-symplectic
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Summary: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.
ISSN:0253-4827
1573-2754
DOI:10.1007/BF02456980