Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix

被引：0

作者：

Nikitin A.G. ^{[1
]}

机构：

[1] Institute of Mathematics, Ukrainian Academy of Sciences

来源：

Ukrainian Mathematical Journal | 2007年 / 59卷 / 3期

关键词：

Diffusion Equation; Group Classification; Equivalence Transformation; Diffusion Matrix; Nonlinear Reaction;

D O I：

10.1007/s11253-007-0028-x

中图分类号：

学科分类号：

摘要：

We complete the group classification of systems of two coupled nonlinear reaction-diffusion equations with general diffusion matrix begun in author's previous works. Namely, all nonequivalent equations with triangular diffusion matrix are classified. In addition, we describe symmetries of diffusion systems with nilpotent diffusion matrix and additional terms with first-order derivatives. © 2007 Springer Science+Business Media, Inc.

引用

页码：439 / 458

页数：19

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