RT journal article
T1 Potential systems of a Buckley–Leverett equation: Lie point symmetries and conservation laws
A1 Bruzón Gallego, María de los Santos
A1 Márquez Lozano, Almudena del Pilar
A1 Recio Rodríguez, Elena
A1 Garrido Letrán, Tamara María
A1 Rosa Silva, Rafael de la
A2 Matemáticas
K1 Buckley–Leverett equation
K1 Symmetries
K1 Conservation laws
K1 Potential symmetries
AB In this work, we study a Buckley–Leverett equation of two-phase flow in porousmedia from the point of view of the Lie theory. We find that for some functions theequation has abundant exact solutions expressible in terms of Jacobi elliptic functionsand consequently has many solutions in the form of periodic waves or solitarywaves. We determine low-order conservation laws by using the multiplier method.From conservations laws, we construct the potential systems. From these systemswe deduce potential equations. We study these equations from the point of viewof Lie theory. Moreover, for these equations some nontrivial conservation laws areconstructed by using the multipliers method.
SN 1572-8897
YR 2020
FD 2020
LK http://hdl.handle.net/10498/33317
UL http://hdl.handle.net/10498/33317
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-nov-2026