GROUP CLASSIFICATION OF VARIABLE COEFFICIENT QUASILINEAR REACTION-DIFFUSION EQUATIONS

被引：8

作者：

Vaneeva, Olena ^{[1
]}

Zhalij, Alexander ^{[1
]}

机构：

[1] NAS Ukraine, Inst Math, Dept Appl Res, Kiev, Ukraine

来源：

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD | 2013年 / 94卷 / 108期

关键词：

Group classification; reaction-diffusion equations; Lie symmetry; admissible transformations; equivalence transformations; PARTIAL-DIFFERENTIAL-EQUATIONS; NONLINEARITIES;

D O I：

10.2298/PIM1308081V

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The group classification of variable coefficient quasilinear reaction-diffusion equations u(t) = u(xx) + h(x)B(u) is carried out exhaustively. This became possible due to usage of a conditional equivalence group found in the course of the study of admissible point transformations within the class.

引用

页码：81 / 90

页数：10

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