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- W2920183669 abstract "The concept of sub-symmetry of a differential system was introduced in [ 40 ], where it was shown that a sub-symmetry is a considerably more powerful tool than a regular symmetry with regard to deformation of conservation laws. In this paper, we study the nature of a correspondence between sub-symmetries and conservation laws of a differential system. We show that for a large class of non-Lagrangian systems, there is a natural association between sub-symmetries and local conservation laws based on the Noether operator identity, and we prove an analogue of the first Noether theorem for sub-symmetries. We also demonstrate that a similar association can be established for infinite sub-symmetries of the system. We discuss the role of sub-symmetries in generation of infinite series of conservation laws for the constrained Maxwell system and the incompressible Euler equations of fluid dynamics. Despite the fact that infinite symmetries (with arbitrary functions of dependent variables) are not known for the Euler equations, we find infinite sub-symmetries for the two- and three-dimensional Euler equations with certain constraints. We show that these sub-symmetries generate known series of infinite conservation laws, and obtain new classes of infinite conservation laws." @default.
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- W2920183669 date "2019-03-01" @default.
- W2920183669 modified "2023-09-25" @default.
- W2920183669 title "Sub-Symmetries and Conservation Laws" @default.
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- W2920183669 doi "https://doi.org/10.1016/s0034-4877(19)30021-7" @default.
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