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Lie symmetries and equivalence transformations for the Barenblatt-Gilman model

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URI: http://hdl.handle.net/10498/27013

DOI: 10.1016/j.cam.2016.09.023

ISSN: 0377-0427

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Author/s
Garrido Letrán, Tamara MaríaAuthority UCA; Kasatkin, A.A.; Bruzón Gallego, María de los SantosAuthority UCA; Gazizov, R.K.
Date
2017-07-01
Department
Matemáticas
Source
Journal of Computational and Applied Mathematics - 2017, Vol. 318 p.p. 253-258
Abstract
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.
Subjects
Barenblatt-Gilman equation; Lie group analysis; equivalence transformations; travelling wave solutions
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional

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