经典Boussinesq系统的对称与群不变解

Symmetries and group-invariant solutions of the classical Boussinesq system

主要考虑经典Boussinesq系统的一些简单对称及其构成的Lie代数,并利用对称约化的方法将经典Boussinesq系统化为常微分方程组,从而得到该系统的群不变解。

It mainly considers some simple symmetries and Lie algebra which is constructed by the above symmetries of the classical Boussinesq system, and utilizes symmetry reductions to get some group-invariant solutions of the classical Boussinesq system.