On the nonlinear self-adjointness of a class of fourth-order evolution equations

被引：13
|
作者：
Tracina, R. [1 ]
Bruzon, M. S. [2 ]
Gandarias, M. L. [2 ]
机构：
[1] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy
[2] Univ Cadiz, Dept Math, Cadiz, Spain
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 275卷
关键词：
Adjoint equation to nonlinear equations; Lagrangians; Conservation laws; PARTIAL-DIFFERENTIAL-EQUATIONS; DIRECT CONSTRUCTION METHOD; CONSERVATION-LAWS;
D O I：
10.1016/j.amc.2015.11.079
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the property of nonlinear self-adjointness for a class of nonlinear fourth-order equation. It is shown that if an equation itself is a conservation law then it possesses the property of nonlinear self-adjointness and hence it can be rewritten in an equivalent strictly self-adjoint form. The property of nonlinear self-adjointness is used to obtain all nontrivial conservation laws for the class under consideration. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：299 / 304
页数：6
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