Noether's theorem and symmetry
From MaRDI portal
Publication:2337878
DOI10.3390/sym10120744zbMath1425.35004arXiv1812.03682OpenAlexW2962905294MaRDI QIDQ2337878
Amlan K. Halder, Andronikos Paliathanasis, Peter G. L. Leach
Publication date: 20 November 2019
Published in: Symmetry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.03682
conservation lawsaction integralinvariantfirst integralNoether's theoremnonlocal transformationboundary termanalytic mechanicsgeneralized symmetry
Hyperbolic conservation laws (35L65) Geometric theory, characteristics, transformations in context of PDEs (35A30)
Related Items
New class of solutions in the non-minimal O(3)-sigma model ⋮ Noether symmetries and conservation laws of a reduced gauged bilayer graphene model ⋮ Explication of the conserved quantities corresponding to the spacetimes carrying 10 Noether symmetries ⋮ Generalization of Noether theorem and action principle for non-Lagrangian theories ⋮ Symmetries and conservation laws for the generalized n‐dimensional Ermakov system ⋮ Gauge functions and Galilean invariance of Lagrangians ⋮ Higher order first integrals of autonomous dynamical systems
Cites Work
- Hidden symmetries and Killing tensors
- Symmetries, integrals and solutions of ordinary differential equations of maximal symmetry
- Symmetries of first integrals and their associated differential equations
- Lie and Noether counting theorems for one-dimensional systems
- Exceptional properties of second and third order ordinary differential equations of maximal symmetry
- Integrability analysis of a conformal equation in relativity
- Continuous symmetries and conserved currents
- Nonlinear ordinary differential equations: A discussion on symmetries and singularities
- THE CARTAN FORM FOR CONSTRAINED LAGRANGIAN SYSTEMS AND THE NONHOLONOMIC NOETHER THEOREM
- Characteristic functional structure of infinitesimal symmetry mappings of classical dynamical systems. I. Velocity-dependent mappings of second-order differential equations
- Characteristic functional structure of infinitesimal symmetry mappings of classical dynamical systems. II. Mappings of first-order differential equations
- Maximal subalgebra associated with a first integral of a system possessing sl(3,R) algebra
- Generalizations of Noether’s Theorem in Classical Mechanics
- Applications of the Lie theory of extended groups in Hamiltonian mechanics: the oscillator and the Kepler problem
- A new conservation law constructed without using either Lagrangians or Hamiltonians
- Subalgebras of real three- and four-dimensional Lie algebras
- Comment on a theorem of Hojman and its generalizations
- Generalization of Noether’s Theorem in Modern Form to Non-variational Partial Differential Equations
- Geometric foundations of a new conservation law discovered by Hojman
- Symmetries and differential equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
