NONCLASSICAL SYMMETRY REDUCTIONS OF THE LINEAR DIFFUSION EQUATION WITH A NONLINEAR SOURCE

被引：92

作者：

ARRIGO, DJ

HILL, JM

BROADBRIDGE, P

机构：

[1] Department of Mathematics, University of Wollongong, Wollongong

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 1994年 / 52卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

D O I：

10.1093/imamat/52.1.1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Nonclassical symmetry methods are used to study the linear diffusion equation with a nonlinear source term. Mathematical forms are obtained for the source terms which permit a nonclassical symmetry reduction. In addition to the known source terms obtainable from classical symmetry methods, new source terms are found which also admit symmetry reductions. A number of examples are considered and several new exact solutions are constructed, some of which are illustrated graphically.

引用

页码：1 / 24

页数：24

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