Self-adjoint sub-classes of third and fourth-order evolution equations

被引：26

作者：

Freire, Igor Leite ^{[1
]}

机构：

[1] Univ Fed Abc, Ctr Matemat Computacao Cognicao, BR-09210170 Santo Andre, SP, Brazil

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 22期

关键词：

Evolution equations; Self-adjoint equation; Conservation laws for evolution equations; THIN-FILM EQUATIONS; CONSERVATION-LAWS; SYMMETRIES;

D O I：

10.1016/j.amc.2011.04.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work a class of self-adjoint quasilinear third-order evolution equations is determined. Some conservation laws of them are established and a generalization on a self-adjoint class of fourth-order evolution equations is presented. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：9467 / 9473

页数：7

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