Potential systems of a Buckley–Leverett equation: Lie point symmetries and conservation laws

被引：0
作者：
M. S. Bruzón
A. P. Márquez
E. Recio
T. M. Garrido
R. de la Rosa
机构：
[1] Universidad de Cádiz,Department of Mathematics
来源：
Journal of Mathematical Chemistry | 2020年 / 58卷
关键词：
Buckley–Leverett equation; Symmetries; Conservation laws; Potential symmetries;
D O I：
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学科分类号：
摘要：
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.
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页码：831 / 840
页数：9
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