Nonclassical Symmetries for Nonlinear Partial Differential Equations via Compatibility  

作　　者：Mostafa F.El-Sabbagh Ahmad T.Ali 

机构地区：[1]Mathematics Department,Faculty of Science,Minia University,Minia,Egypt [2]King Abdul Aziz University,Faculty of Science,Department of Mathematics,P.O.Box 80203,Jeddah,21589,Saudi Arabia

出　　处：《Communications in Theoretical Physics》2011年第10期611-616,共6页理论物理通讯（英文版）

摘　　要：The determining equations for the nonclassical symmetry reductions of nonlinear partial differential equations with arbitrary order can be obtained by requiring the compatibility between the original equations and the invariant surface conditions. The （2＋1）-dimensional shallow water wave equation, Boussinesq equation, and the dispersive wave equations in shallow water serve as examples i11ustrating how compatibility leads quickly and easily to the determining equations for their nonclassical symmetries.

关 键 词：nonclassical symmetriesm compatibility （2＋ 1）-dimensional shallow water wave Boussinesq equa-tions and the dispersive wave equations in shallow water 

分 类 号：O411.1[理学—理论物理] O175.29[理学—物理]