Approximate Generalized Conditional Symmetries for the Perturbed Nonlinear Diffusion--Convection Equations
ZHANG Shun-Li1,2,3, QU Chang-Zheng1
1Center for Nonlinear Studies, Department of Mathematics, Northwest University, Xi’an 710069
2Institute of Modern Physics, Northwest University, Xi’an 710069
3Center of Nonlinear Science, Ningbo University, Ningbo 315211
Approximate Generalized Conditional Symmetries for the Perturbed Nonlinear Diffusion--Convection Equations
ZHANG Shun-Li1,2,3; QU Chang-Zheng1
1Center for Nonlinear Studies, Department of Mathematics, Northwest University, Xi’an 710069
2Institute of Modern Physics, Northwest University, Xi’an 710069
3Center of Nonlinear Science, Ningbo University, Ningbo 315211
Abstract： The concept of approximate generalized conditional symmetry (AGCS) as a generalization to both approximate Lie point symmetry and generalized conditional symmetry is introduced, and it is applied to study the perturbed nonlinear diffusion-convection equations. Complete classification of those perturbed equations which admit certain types of AGCSs is derived. Some approximate solutions to the resulting equations can be obtained via the AGCS and the corresponding unperturbed equations.
2006, Vol. 23 
