Approximate Generalized Conditional Symmetries for the Perturbed General KdV--Burgers Equation
ZHANG Shun-Li1,2,3, WANG Peng-Zhou1, QU Chang-Zheng1
1Center for Nonlinear Studies, Department of Mathematics, Northwest University, Xi’an 710069
3Institute of Modern Physics, Northwest University, Xi’an 710069
2Center of Nonlinear Science, Ningbo University, Ningbo 315211
Approximate Generalized Conditional Symmetries for the Perturbed General KdV--Burgers Equation
1Center for Nonlinear Studies, Department of Mathematics, Northwest University, Xi’an 710069
3Institute of Modern Physics, Northwest University, Xi’an 710069
2Center of Nonlinear Science, Ningbo University, Ningbo 315211
Abstract： 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 AGCSs is obtained. Approximate solutions to the perturbed equations can be derived from the corresponding unperturbed ones.
2006, Vol. 23 
