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

共 23 条

[21] Enhanced group analysis and conservation laws of variable coefficient reaction-diffusion equations with power nonlinearities [J].

Vaneeva, O. O. ;

Johnpillai, A. G. ;

Popovych, R. O. ;

Sophocleous, C. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 330 (02) :1363-1386

[22] Extended group analysis of variable coefficient reaction-diffusion equations with exponential nonlinearities [J].

Vaneeva, O. O. ;

Popovych, R. O. ;

Sophocleous, C. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 396 (01) :225-242

[23] Enhanced Group Analysis and Exact Solutions of Variable Coefficient Semilinear Diffusion Equations with a Power Source [J].

Vaneeva, O. O. ;

Popovych, R. O. ;

Sophocleous, C. .

ACTA APPLICANDAE MATHEMATICAE, 2009, 106 (01) :1-46

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