New conservation laws for inviscid Burgers equation

被引：15
|
作者：
Freire, Igor Leite [1 ]
机构：
[1] Univ Fed ABC UFABC, Ctr Matemat Comp & Cognicao, BR-09210170 Santo Andre, SP, Brazil
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2012年 / 31卷 / 03期
基金：
巴西圣保罗研究基金会;
关键词：
Lie point symmetry; Ibragimov's Theorem; conservation laws; inviscid Burgers equation; nonlinear self-adjoint equations; weak self-adjoint equations; SELF-ADJOINT SUBCLASSES;
D O I：
10.1590/S1807-03022012000300007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper it is shown that the inviscid Burgers equation is nonlinearly self-adjoint. Then, from Ibragimov's theorem on conservation laws, local conserved quantities are obtained.
引用
收藏
页码：559 / 567
页数：9
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