%0 Journal Article 
%A Bruzón Gallego, María de los Santos
%A Márquez Lozano, Almudena del Pilar
%A Recio Rodríguez, Elena
%A Garrido Letrán, Tamara María
%A Rosa Silva, Rafael de la
%T Potential systems of a Buckley–Leverett equation: Lie point symmetries and conservation laws
%D 2020
%@ 1572-8897
%U http://hdl.handle.net/10498/33317
%X In this work, we study a Buckley–Leverett equation of two-phase flow in porous
media from the point of view of the Lie theory. We find that for some functions the
equation has abundant exact solutions expressible in terms of Jacobi elliptic functions
and consequently has many solutions in the form of periodic waves or solitary
waves. We determine low-order conservation laws by using the multiplier method.
From conservations laws, we construct the potential systems. From these systems
we deduce potential equations. We study these equations from the point of view
of Lie theory. Moreover, for these equations some nontrivial conservation laws are
constructed by using the multipliers method.
%K Buckley–Leverett equation
%K Symmetries
%K Conservation laws
%K Potential symmetries
%~ Universidad de Cádiz