Conservation laws for a modified lubrication equation

被引：3
|
作者：
Wei, Long [1 ]
机构：
[1] Hangzhou Dianzi Univ, Dept Math, Hangzhou 810018, Zhejiang, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2015年 / 26卷
关键词：
Nonlinear self-adjointness; Lagrangian with an auxiliary function; Conservation law; PARTIAL-DIFFERENTIAL EQUATIONS; DIRECT CONSTRUCTION METHOD; THIN-FILM EQUATIONS; EVOLUTION-EQUATIONS; MODEL;
D O I：
10.1016/j.nonrwa.2015.04.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we study the conservation laws of a modified lubrication equation, which describes the dynamics of the interfacial motion in phase transition. We show that the equation is nonlinear self-adjoint and has an exact Lagrangian with an auxiliary function. As a result, by a general theorem on conservation laws proved by Nail Ibragimov recently and Noether's theorem, some new conservation laws for the equation are obtained. Our results show that the non-locally defined conservation laws generated by Noether's theorem are equivalent to the local ones given by Ibragimov's theorem. (C) 2015 Elsevier Ltd. All rights reserved.
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页码：44 / 55
页数：12
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