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

页码：299 / 304

页数：6

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