Quasi-Noether Systems and Quasi-Lagrangians
AbstractWe study differential systems for which it is possible to establish a correspondence between symmetries and conservation laws based on Noether identity: quasi-Noether systems. We analyze Noether identity and show that it leads to the same conservation laws as Lagrange (Green–Lagrange) identity. We discuss quasi-Noether systems, and some of their properties, and generate classes of quasi-Noether differential equations of the second order. We next introduce a more general version of quasi-Lagrangians which allows us to extend Noether theorem. Here, variational symmetries are only sub-symmetries, not true symmetries. We finally introduce the critical point condition for evolution equations with a conserved integral, demonstrate examples of its compatibility, and compare the invariant submanifolds of quasi-Lagrangian systems with those of Hamiltonian systems. View Full-Text
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Rosenhaus, V.; Shankar, R. Quasi-Noether Systems and Quasi-Lagrangians. Symmetry 2019, 11, 1008.
Rosenhaus V, Shankar R. Quasi-Noether Systems and Quasi-Lagrangians. Symmetry. 2019; 11(8):1008.Chicago/Turabian Style
Rosenhaus, V.; Shankar, Ravi. 2019. "Quasi-Noether Systems and Quasi-Lagrangians." Symmetry 11, no. 8: 1008.
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