Benjamin-Ono方程的对称性约化  

Symmetry Reductions of the Benjamin-Ono Equation

作　　者：房春梅 

机构地区：[1]集宁师范学院数学系,乌兰察布012000

出　　处：《湖北民族学院学报（自然科学版）》2013年第2期190-193,共4页Journal of Hubei Minzu University(Natural Science Edition)

摘　　要：CK直接方法是求精确解的一种简单有效的方法,该方法的思想是将高维的偏微分方程约化为低维的常微分方程.本文根据此方法获得了Benjamin-Ono方程新的对称性约化,其中包括第一第二和第四Painleve型方程.CK direct method is a simple and effective way to find symmetry reductions of partial differen- tial equations and the idea of the method is to reduce the high dimensional partial differential equation to a low-dimensional ordinary differential equation.According to this method, some new symmetry reductions of the Benjamin-Ono equation are obtained, including the first, second, and fourth Painleve equations.

关 键 词：C-K直接方法 BENJAMIN-ONO方程 对称性约化 

分 类 号：O290[理学—应用数学]