摘要
Approximate generalized conditional symmetry is developed to study the approximate symmetry reduction for initial-value problems of the extended KdV-Burgers equations with perturbation.These equations can be reduced to initial-value problems for some systems of first-order perturbed ordinary differential equations in terms of a new approach.Complete classification theorems are obtained and an example is taken to show the main reduction procedure.
作者
LI Ji-Na
ZHANG Shun-Li
李吉娜;张顺利(Center for Nonlinear Studies,Department of Mathematics,Northwest University,Xi’an 710069;Center of Nonlinear Science,Ningbo University,Ningbo 315211)
基金
Supported by the National Natural Science Foundation of China under Grant No 10671156
the Natural Science Foundation of Shaanxi Province of China under Grant No SJ08A05
the NWU Graduate Innovation and Creativity Funds(09YZZ56)。
