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

• Date: 1997
• Main Authors: Serov, N. I., Cherniga, R. M., Сєров, М. І., Черніга, Р. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5125
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.