CONSERVATION LAWS BY SYMMETRIES AND ADJOINT SYMMETRIES

被引：106

作者：

Ma, Wen-Xiu ^{[1
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机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

[2] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA

[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China

[4] North West Univ, Int Inst Symmetry Anal & Math Modelling, Dept Math Sci, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2018年 / 11卷 / 04期

基金：

美国国家科学基金会;

关键词：

Conservation law; symmetry; evolution equation; DISCRETE EVOLUTION-EQUATIONS; BINARY NONLINEARIZATION; DIFFERENTIAL-EQUATIONS; CONSTRAINT; ALGEBRAS; SYSTEMS;

D O I：

10.3934/dcdss.2018044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Conservation laws are fomulated for systems of differential equations by using symmetries and adjoint symmetries, and an application to systems of evolution equations is made, together with illustrative examples. The formulation does not require the existence of a Lagrangian for a given system, and the presented examples include computations of conserved densities for the heat equation, Burgers' equation and the Korteweg-de Vries equation.

引用

页码：707 / 721

页数：15

共 29 条

[1] Derivation of conservation laws from nonlocal symmetries of differential equations [J].