Conservation laws for some systems of nonlinear PDEs via the symmetry/adjoint symmetry pair method

被引：14
|
作者：
Buhe, Eerdun [1 ,2 ,3 ]
Bluman, G. [2 ]
Kara, A. H. [2 ,4 ]
机构：
[1] Hohhot Univ Nationalities, Dept Math, Hohhot 010051, Peoples R China
[2] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
[3] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
[4] Univ Witwatersrand, Sch Math, Ctr Differential Equat Continuum Mech & Applicat, ZA-2050 Johannesburg, South Africa
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 436卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Characteristic form; Combined potential system; Nonlinear wave equation; Conservation laws; Symmetries; Adjoint symmetries; DIFFUSION-CONVECTION EQUATIONS; PARTIAL-DIFFERENTIAL-EQUATIONS; TELEGRAPH EQUATIONS; DIRECT CONSTRUCTION; FIELD-EQUATIONS; COMPUTATION;
D O I：
10.1016/j.jmaa.2015.11.052
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper applies the symmetry/adjoint symmetry pair method to find conservation laws for nonlinear partial differential equations. As examples, conservation laws are obtained for a combined potential system (with nonlinear telegraph and nonlinear diffusion convection equations as special cases) as well as for an extended nonlinear wave equation system. In addition, for both examples, conservation laws are obtained for and nonlocally related equivalent systems. The paper concludes with a posed open problem. (C) 2015 Elsevier Inc. All rights reserved.
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页码：94 / 103
页数：10
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