Noether's Theorem and Symmetry

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...

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Bibliographic Details
Main Author: Paliathanasis, Andronikos (auth)
Other Authors: Leach, P.G.L (auth)
Format: Book Chapter
Published: MDPI - Multidisciplinary Digital Publishing Institute 2020
Subjects:
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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
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