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On symmetry analysis of differential systems on functional manifolds
Journal of Mathematical Analysis and Applications ( IF 1.3 ) Pub Date : 2020-10-01 , DOI: 10.1016/j.jmaa.2020.124326
Anatolij K. Prykarpatski

Abstract In this short Letter there is successively sketched a classical E. Noether based analytical scheme of constructing the complete set of global conservation laws to a smooth vector field on a functional manifold. There is also described an analytical algorithm of constructing the complete set of differential conservation laws to a general smooth differential-functional system on a functional manifold with values in an arbitrary vector bundle. It is demonstrated that the algorithm reduces as a special case to that presented recently by C.S. Anco.

中文翻译:

关于泛函流形上微分系统的对称性分析

摘要 在这封简短的信函中,连续勾画了一个经典的基于 E. Noether 的分析方案,用于构造函数流形上光滑矢量场的完整全局守恒定律。还描述了在具有任意向量丛中的值的泛函流形上将完整的微分守恒定律集构造为一般光滑微分泛函系统的分析算法。结果表明,该算法作为特例简化为最近由 CS Anco 提出的算法。
更新日期:2020-10-01
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