RT journal article
T1 Lie symmetries and equivalence transformations for the Barenblatt-Gilman model
A1 Garrido Letrán, Tamara María
A1 Kasatkin, A.A.
A1 Bruzón Gallego, María de los Santos
A1 Gazizov, R.K.
A2 Matemáticas
K1 Barenblatt-Gilman equation
K1 Lie group analysis
K1 equivalence transformations
K1 travelling wave solutions
AB 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.
PB Elsevier
SN 0377-0427
YR 2017
FD 2017-07-01
LK http://hdl.handle.net/10498/27013
UL http://hdl.handle.net/10498/27013
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 21-sep-2026