Classification and approximate solutions to perturbed diffusion–convection equations

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摘要

Approximate symmetries of the perturbed nonlinear diffusion–convection equations are completely classified by the method originated with Fushchich and Shtelen. Moreover, for some interesting cases, symmetry reductions and approximate solutions are discussed in detail.

论文关键词:Approximate symmetry,Classification,Approximate solution,Lie reduction,Diffusion–convection equations

论文评审过程:Available online 30 July 2012.

论文官网地址:https://doi.org/10.1016/j.amc.2012.07.019