Approximate Generalized Conditional Symmetries for the Perturbed Nonlinear Diffusion-Convection Equations  

作　　者：张顺利 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3期527-530,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 10371098 and 10447007, 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 concept of approximate generalized conditional symmetry （A GCS） 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 cerrain types of AGCSs is derived. Some approximate solutions to the resulting equations can be obtained via the AGCS and the corresponding unperturbed equations.The concept of approximate generalized conditional symmetry （A GCS） 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 cerrain types of AGCSs is derived. Some approximate solutions to the resulting equations can be obtained via the AGCS and the corresponding unperturbed equations.

关 键 词：PARTIAL-DIFFERENTIAL-EQUATIONS FUNCTIONAL VARIABLE SEPARATION INITIAL-VALUE PROBLEMS POTENTIAL SYMMETRIES WAVE-EQUATION REDUCTION CLASSIFICATION 

分 类 号：O242[理学—计算数学]