Identities from infinite-dimensional symmetries of Herglotz variational functional

DOI10.1063/1.4807728zbMath1366.70026OpenAlexW1990787471MaRDI QIDQ5402315

Bogdana Georgieva, Theodore Bodurov

Publication date: 6 March 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4807728

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Variational principles in infinite-dimensional spaces (58E30) Electromagnetic theory (general) (78A25) Other variational principles in mechanics (70H30) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Higher-order theories for problems in Hamiltonian and Lagrangian mechanics (70H50)

Related Items (3)

Conservation laws of nonconservative nonholonomic system based on Herglotz variational problem ⋮ Herglotz-type principle and first integrals for nonholonomic systems in phase space ⋮ Variational symmetries, conserved quantities and identities for several equations of mathematical physics

Cites Work

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• First Noether-type theorem for the generalized variational principle of Herglotz
• Symmetries of the generalized variational functional of Herglotz for several independent variables
• Second Noether-type theorem for the generalized variational principle of Herglotz
• Invariant variation problems
• The Variational Principle of Hergloz and Related Results
• Generalized variational principle of Herglotz for several independent variables. First Noether-type theorem

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