Lie symmetries and exact solutions of nonlinear equations of heat conductivity with convection term

被引：0
作者：
M. I. Serov
R. M. Cherniha
机构：
[1] Poltava Technical University,Institute of Mathematics
[2] Ukrainian Academy of Sciences,undefined
来源：
Ukrainian Mathematical Journal | 1997年 / 49卷 / 9期
关键词：
Exact Solution; Heat Conductivity; Nonlinear Equation; Convection Term; Burger Equation;
D O I：
10.1007/BF02487349
中图分类号：
学科分类号：
摘要：
The Lie symmetries of nonlinear diffusion equations with convection term are completely described. The Lie ansatzes and exact solutions of a certain nonlinear generalization of the Murray equation are constructed. An example of the family of non-Lie solutions of the Murray equation is given.
引用
收藏
页码：1423 / 1433
页数：10
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