几个非线性偏微分方程的非古典对称及相似解

研究了一些非线性偏微分方程的非古典势对称和非古典对称，得到了某些方程的新的势对称和新的对称，同时也得到了其伴随系统的新的对称，并求出了一些相似解．这些解对进一步研究这些非线性偏微分方程所描述的物理现象具有广泛的应用价值．

Nonclassical symmetries and similarity solutions of some nonlinear partial differential equations

The nonclassical potential symmetries of some nonlinear partial differential equations and nonclassical symmetries of them were researched. New potential symmetries of one equation and new symmetries of these original equations were obtained. Nonclassical symmetries of auxilary potential systems were also determined. Furthermore,the corresponding similarity solutions can be obtained by using some of the above symmetries. The solutions have extensive application value for further researching the physical phe...