Multi-Symplectic Method for Generalized Boussinesq Equation

HU Wei-peng; DENG Zi-chen

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(7): 839-845

HU Wei-peng, DENG Zi-chen. Multi-Symplectic Method for Generalized Boussinesq Equation[J]. Applied Mathematics and Mechanics, 2008, 29(7): 839-845.

Citation:

HU Wei-peng, DENG Zi-chen. Multi-Symplectic Method for Generalized Boussinesq Equation[J]. Applied Mathematics and Mechanics, 2008, 29(7): 839-845.

Citation:

HU Wei-peng, DENG Zi-chen. Multi-Symplectic Method for Generalized Boussinesq Equation[J]. Applied Mathematics and Mechanics, 2008, 29(7): 839-845.

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Multi-Symplectic Method for Generalized Boussinesq Equation

HU Wei-peng¹,
DENG Zi-chen^1,2

1.
School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnincal University, Xi'an 710072, P. R. China;

Received Date: 2008-01-16
Rev Recd Date: 2008-05-09
Publish Date: 2008-07-15

Abstract

Abstract

Generalized Boussinesq equation,representing a group of important nonlinear equations, possesses many interesting properties.The multi-symplectic formulations of which in Hamilton space were introduced.Then an implicit multi-symplectic scheme equivalent to the multi-symplectic Box scheme was constructed to solve the partial differential equations(PDEs) that were derived from the generalized Boussinesq equation.The numerical experiments on the soliton solutions of the generalized Boussinesq equation were also reported.Finally,the results of which show that the multi-symplectic method is an efficient algorithm with excellent long-time numerical behaviors for nonlinear partial differential equation.
- generalized Boussinesq equation,
- multi-symplectic method,
- soliton solution,
- conservation law

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References(18)

References

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