(2+1)维非线性发展方程的对称约化和显式解

Symmetry reductions and explicit solutions of (2+1)-dimensional nonlinear evolution equation

利用相容方法,得到了(2+1)维非线性发展方程的对称,并根据相应的特征方程组得到了(2+1)维非线性发展方程的相似约化,同时得到了一些新的显式解。

Using the compatibility method,symmetry of the nonlinear evolution equation was obtained.By solving the corresponding characteristic equations associated with symmetry equations,symmetry reductions of the（2＋1）-dimensional nonlinear evolution equation were given first,then some special type of new explicit solutions were presented.