The Multi-Symplectic Algorithm for“Good” Boussinesq Equation

ZENG Wen-ping; HUANG Lang-yang; QIN Meng-zhao

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(7): 743-748

ZENG Wen-ping, HUANG Lang-yang, QIN Meng-zhao. The Multi-Symplectic Algorithm for“Good” Boussinesq Equation[J]. Applied Mathematics and Mechanics, 2002, 23(7): 743-748.

Citation:

ZENG Wen-ping, HUANG Lang-yang, QIN Meng-zhao. The Multi-Symplectic Algorithm for“Good” Boussinesq Equation[J]. Applied Mathematics and Mechanics, 2002, 23(7): 743-748.

Citation:

ZENG Wen-ping, HUANG Lang-yang, QIN Meng-zhao. The Multi-Symplectic Algorithm for“Good” Boussinesq Equation[J]. Applied Mathematics and Mechanics, 2002, 23(7): 743-748.

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The Multi-Symplectic Algorithm for“Good” Boussinesq Equation

1.
Department of Mathematics, Huaqiao University, Quanzhou, Fujian 362011, P R China;
2.
The State Key Laboratory of Scientific/Engineering Computing, Institute of Computational Mathematics and Scienctific/Engineering Computing, Chinese Academy of Sciences, Beijing 100080, P R China

Received Date: 2001-09-25
Rev Recd Date: 2002-02-05
Publish Date: 2002-07-15

Abstract

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 multisymplectic scheme have excellent long-time numerical behavior.
- “Good” Boussinesq equation,
- multi-symplectic,
- conservation law

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References(11)

References

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