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

  • N. I. Serov
  • R. M. Cherniga

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.
Published
25.09.1997
How to Cite
SerovN. I., and ChernigaR. M. “Lie Symmetries and Exact Solutions of Nonlinear Equations of Heat Conductivity With Convection Term”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 49, no. 9, Sept. 1997, pp. 1262–1270, https://umj.imath.kiev.ua/index.php/umj/article/view/5125.
Section
Research articles