Results 101 to 110 of about 336,880 (200)

An optimal system of group-invariant solutions and conserved quantities of a nonlinear fifth-order integrable equation

open access: yesOpen Physics, 2020
In this work, we perform Lie group analysis on a fifth-order integrable nonlinear partial differential equation, which was recently introduced in the literature and contains two dispersive terms.
Simbanefayi Innocent   +1 more
doaj   +1 more source

Covariant conservation laws, local invariance and Noether’s second theorem

open access: yesEuropean Physical Journal C: Particles and Fields
We lay down a set of requirements for a field theory to produce a covariant conservation law out of Noether’s second theorem, and show that neither local invariance implies a covariant conservation law, nor the existence of a covariant conservation law ...
Nuno Barros e Sá   +2 more
doaj   +1 more source

An Extension of the Noether-Deuring Theorem [PDF]

open access: yesProceedings of the American Mathematical Society, 1972
Let R R be a commutative semilocal noetherian ring,
openaire   +1 more source

Transformation groups and the virial theorem [PDF]

open access: yes, 1972
A generalization of Noether's result for classical mechanics is given, which shows that the virial theorem is related to an invariance property of the Lagrange function.
Kampen, N.G. van, N.G. van Kampen
core   +1 more source

Equivariance, Variational Principles, and the Feynman Integral

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
We argue that the variational calculus leading to Euler's equations and Noether's theorem can be replaced by equivariance and invariance conditions avoiding the action integral.
George Svetlichny
doaj  

Noether's theorem and the inverse problem of Lagrangian mechanics

open access: yes, 1983
We discuss Noether's theorem in classical mechanics and the inverse problem of Lagrangian mechanics. We further look at different aspects of the problem of relating symmetries and first integrals of second-order equations to the search for a ...
Sarlet, Willy
core  

Higher-Stage Noether Identities and Second Noether Theorems [PDF]

open access: yesAdvances in Mathematical Physics, 2015
The direct and inverse second Noether theorems are formulated in a general case of reducible degenerate Grassmann-graded Lagrangian theory of even and odd variables on graded bundles. Such Lagrangian theory is characterized by a hierarchy of nontrivial higher-stage Noether identities which is described in the homology terms.
openaire   +2 more sources

Exact solutions of equal-width equation and its conservation laws

open access: yesOpen Physics, 2019
In this work we investigate the equal-width equation, which is used for simulation of (1-D) wave propagation in non-linear medium with dispersion process.
Khalique Chaudry Masood   +2 more
doaj   +1 more source

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