A new method to obtain approximate symmetry of nonlinear evolution equation from perturbations  

作　　者：张智勇 雍雪林 陈玉福 

机构地区：[1]School of Mathematical Sciences, Graduate University of Chinese Academy of Sciences [2]Department of Mathematics and Physics, North China Electric Power University

出　　处：《Chinese Physics B》2009年第7期2629-2633,共5页中国物理B（英文版）

摘　　要：A novel method for obtaining the approximate symmetry of a partial differential equation with a small parameter is introduced. By expanding the independent variable and the dependent variable in the small parameter series, we obtain more affluent approximate symmetries. The method is applied to two perturbed nonlinear partial differential equations and new approximate solutions are derived.A novel method for obtaining the approximate symmetry of a partial differential equation with a small parameter is introduced. By expanding the independent variable and the dependent variable in the small parameter series, we obtain more affluent approximate symmetries. The method is applied to two perturbed nonlinear partial differential equations and new approximate solutions are derived.

关 键 词：approximate symmetry approximate solutions EXPANSION perturbed equation 

分 类 号：O411.1[理学—理论物理]