半反推法是何吉欢为了寻求物理问题的变分原理而提出的,可避免由拉氏乘子法引起的临界变分现象.应用半反推法分别获得了描述水波运动的两类Boussinesq方程组的一族广义变分原理,并验证了它们的正确性.
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.