Noether theorem for μ-symmetries

DOI10.1088/1751-8113/40/39/013zbMath1128.35102arXiv0708.3144OpenAlexW3098432074MaRDI QIDQ5422380

Giuseppe Gaeta, Giampaolo Cicogna

Publication date: 19 October 2007

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

Full work available at URL: https://arxiv.org/abs/0708.3144

zbMATH Keywords

invariantsEuler-Lagrange equationsconservation lawsvariational principlesymmetries

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (13)

TWISTED SYMMETRIES AND INTEGRABLE SYSTEMS ⋮ Onμ-symmetries,μ-reductions, andμ-conservation laws of Gardner equation ⋮ Lie symmetry and \(\mu\)-symmetry methods for nonlinear generalized Camassa-Holm equation ⋮ On the geometry of twisted prolongations, and dynamical systems ⋮ First integrals and exact solutions of a class of nonlinear systems ⋮ Exact solutions to a family of position‐dependent mass damped oscillators from variational λ‐symmetries ⋮ Reduction of systems of first-order differential equations via \(\Lambda \)-symmetries ⋮ On the commutator of ${\mathcal{C}^{\infty}}$ -symmetries and the reduction of Euler–Lagrange equations ⋮ A gauge-theoretic description of \(\mu \)-prolongations, and \(\mu \)-symmetries of differential equations ⋮ The \(\lambda\)-symmetry reduction method and Jacobi last multipliers ⋮ µ -symmetry and µ -conservation law for the extended mKdV equation ⋮ On the variational problems without having desired variational symmetries ⋮ \( \mathscr{C}^\infty \)-symmetries of distributions and integrability

This page was built for publication: Noether theorem for μ-symmetries