GROUP CLASSIFICATION OF VARIABLE COEFFICIENT QUASILINEAR REACTION-DIFFUSION EQUATIONS

被引：7
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.
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收藏
页码：81 / 90
页数：10
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