Conservation laws by symmetries and adjoint symmetries
Conservation laws by symmetries and adjoint symmetries
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DOI：
10.3934/dcdss.2018044
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发表时间：
2017-07
期刊：
影响因子：
--
通讯作者：
W. Ma
中科院分区：
文献类型：
--
作者：
W. Ma
守恒定律是制定系统的微分方程，通过使用对称性和伴随对称性，并应用到系统的发展方程，连同说明性的例子。该公式不要求给定系统存在拉格朗日量，给出的例子包括热方程、Burgers方程和Korteweg-de弗里斯方程的守恒密度计算。
Conservation laws are formulated 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.