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