%0 Journal Article 
%A Garrido Letrán, Tamara María
%A Kasatkin, A.A.
%A Bruzón Gallego, María de los Santos
%A Gazizov, R.K.
%T Lie symmetries and equivalence transformations for the Barenblatt-Gilman model
%D 2017
%@ 0377-0427
%U http://hdl.handle.net/10498/27013
%X In this paper we have considered the Barenblatt-Gilman equation which models the nonequilibrium countercurrent capillary impregnation. The equation of this model is a third-order equation and the unknown function concerns to the effective water saturation. We have applied the classical method to get the Lie group classification with respect to unknown function and we have constructed the equivalence transformations. We have also  obtained the invariant solutions for some forms of the equation, including travelling wave solutions based on the Jacobi elliptic sine function.
%K Barenblatt-Gilman equation
%K Lie group analysis
%K equivalence transformations
%K travelling wave solutions
%~ Universidad de Cádiz