Noether's Theorem and Symmetry

• Hoofdauteur: Paliathanasis, Andronikos (auth)
• Andere auteurs: Leach, P.G.L (auth)
• Formaat: Elektronisch Hoofdstuk
• Taal: Engels
• Gepubliceerd in: MDPI - Multidisciplinary Digital Publishing Institute 2020
• Onderwerpen: n/a; integrable nonlocal partial differential equations; continuous symmetry; Gauss-Bonnet cosmology; double dispersion equation; optimal systems; viscoelasticity; group-invariant solutions; symmetry reduction; Noether symmetries; roots; modified theories of gravity; invariant; variational principle; action integral; conservation laws; conservation law; Noether operators; quasi-Noether systems; Noether symmetry approach; wave equation; Lagrange anchor; quasi-Lagrangians; Lie symmetry; multiplier method; analytic mechanics; optimal system; spherically symmetric spacetimes; Boussinesq equation; lie symmetries; generalized symmetry; first integral; Noether's theorem; Lie symmetries; nonlocal transformation; energy-momentum tensor; boundary term; first integrals; invariant solutions; FLRW spacetime; Noether operator identity; Kelvin-Voigt equation; symmetries; partial differential equations; systems of ODEs; approximate symmetry and solutions
• Online toegang: DOAB: download the publication; DOAB: description of the publication

In Noether's original presentation of her celebrated theorem of 1918, allowances were made for the dependence of the coefficient functions of the differential operator which generated the infinitesimal transformation of the Action Integral upon the derivatives of the dependent variable(s), the...