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

被引：0

作者：

Bruzon, M. S. ^{[1
]}

Marquez, A. P. ^{[1
]}

Recio, E. ^{[1
]}

Garrido, T. M. ^{[1
]}

de la Rosa, R. ^{[1
]}

机构：

[1] Univ Cadiz, Dept Math, Cadiz 11510, Spain

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2020年 / 58卷 / 04期

关键词：

Buckley-Leverett equation; Symmetries; Conservation laws; Potential symmetries; PARTIAL-DIFFERENTIAL EQUATIONS; DIRECT CONSTRUCTION METHOD; WAVES;

D O I：

10.1007/s10910-020-01110-9

中图分类号：

O6 [化学];

学科分类号：

0703 ;

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.

引用

页码：831 / 840

页数：10

共 17 条

[1] Symmetries and conservation laws of the generalized Krichever-Novikov equation [J].