Noether's Theorem and Symmetry

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 so-ca...

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Bibliographic Details
Main Authors:	Paliathanasis, Andronikos, Leach, P.G.L.
Format:	Online
Language:	English
Published:	MDPI - Multidisciplinary Digital Publishing Institute 2021
Subjects:	K1-7720 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 bic Book Industry Communication::L Law
Online Access:	44779
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Noether's Theorem and Symmetry

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