The non-classical solution of the inhomogeneous non-linear diffusion equation

被引：25

作者：

Saied, EA ^{[1
]}

机构：

[1] Benha Univ, Fac Sci, Dept Math, Benha, Egypt

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1999年 / 98卷 / 2-3期

关键词：

diffusion for nonhomogeneous media; conditional symmetries; soliton-like solutions;

D O I：

10.1016/S0096-3003(97)10158-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A complete classification of the symmetry reductions of the inhomogeneous nonlinear diffusion (INLD) equation using the non-classical method leads to one family of symmetry generators. The resulting ordinary differential equation is of second order and non-linear. New solutions are obtained for some physical processes corresponding to particular values of n and p, m. (C) 1999 Elsevier Science Inc. All rights reserved.

引用

页码：103 / 108

页数：6

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