(2+1)维Gardner方程的对称、约化及其群不变解

Symmetry,reduction and group invariant solution of (2+l)-dimensional Gardner equation

利用经典李群方法,得到了一类(2+1)维Gardner方程的显式解,推广了唐和陈的某些结果,并且得到了该方程的对称、约化及其群不变解。

By using the classical Lie group method, explicit solutions to the （2＋1） dimensional Gardner equation are obtained, which generalize some corresponding results obtained by Tang and Chen, and symmetries, symmetry reductions and group invariant solutions to the equation are presented.