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 classifica...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.展开更多
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）.
文摘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.
