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.
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页码：9467 / 9473
页数：7
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