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Local symmetries in gauge theories in a finite-dimensional setting
(ELSEVIER SCIENCE BVAMSTERDAM, 2012)
It is shown that the correct mathematical implementation of symmetry in the geometric formulation of classical field theory leads naturally beyond the concept of Lie groups and their actions on manifolds, out into the realm ...
Local attractors, degeneracy and analyticity: Symmetry effects on the locally coupled Kuramoto model
(2013-04-02)
In this work we study the local coupled Kuramoto model with periodic boundary conditions. Our main objective is to show how analytical solutions may be obtained from symmetry assumptions, and while we proceed on our endeavor ...
Random Lie-point symmetries
(Taylor & Francis LtdAbingdonInglaterra, 2014)
Comment on Time-reversal symmetry-breaking superconductivity
(2001-08-20)
It is pointed out that erroneous Bardeen-Cooper-Schrieffer model equations have been used by Haranath Ghosh in his recent treatment of time-reversal symmetry-breaking superconductivity. Consequently, his numerical results ...
Symmetry analysis of the bidimensional Lane-Emden systems
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2012)
Small oscillations: A new solution based on non-Noetherian symmetries
(1993)
A new (non-Noetherian) symmetry transformation for the small oscillations problem is exhibited. A novel way to solve this classical problem, based on conservation laws constructed using the new symmetry, is presented. ...
Coalescence, deformation and Bäcklund symmetries of Painlevé IV and II equations
(2020-11-01)
We extend Painlevé IV model by adding quadratic terms to its Hamiltonian obtaining two classes of models (coalescence and deformation) that interpolate between Painlevé IV and II equations for special limits of the underlying ...
Gauge symmetry origin of Bäcklund transformations for Painlevé equations
(2021-05-01)
We identify the self-similarity limit of the second flow of sl(N)mKdVhierarchy with the periodic dressing chain thus establishing a connection to A(1) N-1 invariant Painlev'e equations. The A(1) N-1 Bcklund symmetries of ...
Symmetry groups of Rosenbloom-Tsfasman spaces
(Elsevier Science BvAmsterdamHolanda, 2009)
An Invitation To Modern Group Analysis Of Differential Equations
(PERGAMON-ELSEVIER SCIENCE LTDOXFORD, 2015)