Approximate Generalized Conditional Symmetries for the Perturbed General KdV-Burgers Equation  

作　　者：张顺利 五鹏洲 屈长征 

机构地区：[1]Center for Nonlinear Studies, Department of Mathematics, Northwest University, Xi'an 710069 [2]Institute of Modern Physics, Northwest University, Xi'an 710069 [3]Center of Nonlinear Science, Ningbo University, Ningbo 315211

出　　处：《Chinese Physics Letters》2006年第10期2625-2628,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos 10447007 and 10371098, the China Postdoctoral Science Foundation, the Natural Science Foundation of Shaanxi Province （No 2005A13）, and the Special Research Project of Educational Department of Shaanxi Province （No 03JK060）.

摘　　要：The approximate generalized conditional symmetry （AGCS） approach we previously proposed [Chin. Phys.Lett. 23 （2006） 527] is applied to study the perturbed general KdV-Burgers （KdVB） equation. Complete classification of those perturbed general KdVB equations which admit certain types of A GCSs is obtained. Approximate solutions to the perturbed equations can be derived from the corresponding unperturbed ones.The approximate generalized conditional symmetry （AGCS） approach we previously proposed [Chin. Phys.Lett. 23 （2006） 527] is applied to study the perturbed general KdV-Burgers （KdVB） equation. Complete classification of those perturbed general KdVB equations which admit certain types of A GCSs is obtained. Approximate solutions to the perturbed equations can be derived from the corresponding unperturbed ones.

关 键 词：SOLITARY-WAVE SOLUTIONS DE-VRIES EQUATION DECOMPOSITION METHOD PARAMETER 

分 类 号：O41[理学—理论物理]