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物理学报  2011 

Generalized variational principles for Boussinesq equation systems
Boussinesq方程组的广义变分原理

Keywords: semi-inverse method,generalized variational principles,Boussinesq equation systems
半反推法
,广义变分原理,Boussinesq方程组

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Abstract:

The semi-inverse method is proposed by He to establish the generalized variational principles for physical problems,which can eliminate variational crisis brought by the Lagrange multiplier method.Via the He' s semi-inverse method,a family of variational principles is constructed for the Boussinesq equation systems and variant Boussinesq equation systems of fluid dynamics.The obtained variational principles have also proved to be correct.

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