摘要
为经由与部分 Lagrangian 联系的 Noether 类型对称操作员构造 Euler Lagrange 类型方程的能量守恒定律的算法被介绍了。作为应用程序，非线性的部分微分方程的一些重要系统的许多新能量守恒定律被获得了。
The algorithm for constructing conservation laws of Euler Lagvange type equations via Noether-type symmetry operators associated with partial Lagrangian has been presented. As applications, many new conservation laws of some important systems of nonlinear partial differential equations have been obtained.
基金
supported by the State Key Basic Research Program of China under Grant No.2004CB318000
关键词
非线性偏微分方程
守恒定律
对称性
系统
拉格朗日
算法构造
法律保护
运营商
Lie-Backlund, Noether-type symmetries, conservation law, coupled integrable dispersionless equations, coupled wave equations
