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
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.
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页码:1423 / 1433
页数:10
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