(2+1)维欧拉(Euler)方程组的对称约化和优化系统

Symmetry Reduction and Optimal System of the (2+1)-Dimensional Euler Equations

利用经典李群方法,讨论了(2+1)维欧拉(Euler)方程组的不变群,得到了(2+1)维Euler方程组的对称,群不变解和优化系统.同时根据对称得到了(2+1)维Euler方程组的相似约化和一些新的显式解.

The （2 ＋ 1 ） -dimensional Euler equations are considered by using the classical Lie group method. Sym- metry and group invariant solutions and optimal system of the （2 ＋ 1 ） -dimensional Euler equations are obtained. At the same time we find some similarity reductions and many new explicit solutions from the symmetry.