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Lie symmetries and exact solutions of nonlinear equations of heat conductivity with convection term |
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| Authors: | M. I. Serov R. M. Cherniha |
| Affiliation: | 1. Poltava Technical University, Poltava 2. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev |
| Abstract: | 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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