2017
Том 69
№ 6

All Issues

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

Cherniga R. M., Serov N. I.

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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.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 9, pp 1423-1433.

Citation Example: Cherniga R. M., Serov N. I. Lie symmetries and exact solutions of nonlinear equations of heat conductivity with convection term // Ukr. Mat. Zh. - 1997. - 49, № 9. - pp. 1262–1270.

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