NEW CLASSES OF SIMILARITY SOLUTIONS OF THE INHOMOGENEOUS NONLINEAR DIFFUSION-EQUATIONS

被引：31

作者：

SAIED, EA

HUSSEIN, MM

机构：

[1] Dept. of Math., Benha Univ.

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 14期

关键词：

D O I：

10.1088/0305-4470/27/14/015

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Lie similarity method has been used to extend the similarity solutions of the one-dimensional inhomogeneous nonlinear diffusion equations. We determine the Lie point symmetry vector fields and calculate the similarity ansatz. Then we discuss the resulting nonlinear ordinary differential equations. Exact solutions are found, and their relations to some real physical are discussed.

引用

页码：4867 / 4874

页数：8

共 18 条

[1]

BARENBATT GI, 1979, SIMILARITY SELF SIMI

[2] NON-LINEAR DIFFUSION PROBLEM ARISING IN PLASMA PHYSICS [J].