Results 21 to 30 of about 4,249 (255)

Lie group analysis of the general Karmarkar condition

open access: yesEuropean Physical Journal C: Particles and Fields, 2023
The Karmarkar embedding condition in different spherically symmetrical metrics is studied in general using Lie symmetries. In this study, the Lie symmetries for conformally flat and shear-free metrics are studied which extend recent results.
Sunil D. Maharaj   +3 more
doaj   +1 more source

Disconnected 0-form and 2-group symmetries

open access: yesJournal of High Energy Physics, 2023
Quantum field theories can have both continuous and finite 0-form symmetries. We study global symmetry structures that arise when both kinds of 0-form symmetries are present. The global structure associated to continuous 0-form symmetries is described by
Lakshya Bhardwaj, Dewi S. W. Gould
doaj   +1 more source

Lie symmetry analysis for generalized short pulse equation

open access: yesOpen Physics, 2022
Lie symmetry analysis (LSA) is one of the most common, effective, and estimation-free methods to find the symmetries and solutions of the differential equations (DEs) by following an algorithm.
Zhao Weidong   +4 more
doaj   +1 more source

Conservation law and Lie symmetry analysis of Foam Drainage equation [PDF]

open access: yesAUT Journal of Mathematics and Computing, 2021
In this paper, using the Lie group analysis method, we study the group invariant of the Foam Drainage equation. It shows that this equation can be reduced to ODE.
Mehdi Nadjafikhah, Omid Chekini
doaj   +1 more source

Symmetries of Ricci flows

open access: yesAdvances in Nonlinear Analysis, 2023
In the present work, we find the Lie point symmetries of the Ricci flow on an n-dimensional manifold, and we introduce a method in order to reutilize these symmetries to obtain the Lie point symmetries of particular metrics.
López Enrique   +2 more
doaj   +1 more source

Generalized Camassa–Holm Equations: Symmetry, Conservation Laws and Regular Pulse and Front Solutions

open access: yesMathematics, 2021
In this paper, we consider a member of an integrable family of generalized Camassa–Holm (GCH) equations. We make an analysis of the point Lie symmetries of these equations by using the Lie method of infinitesimals.
Maria Santos Bruzón   +2 more
doaj   +1 more source

Lorentz transformations as Lie–Poisson symmetries [PDF]

open access: yesJournal of Mathematical Physics, 1995
We write down the Poisson structure for a relativistic particle where the Lorentz group does not act canonically, but instead as a Poisson–Lie group. In so doing we obtain the classical limit of a particle moving on a noncommutative space possessing SLq(2, C) invariance.
SIMONI, ALBERTO, Stern A., Yakuscin I.
openaire   +4 more sources

Lie symmetry, discrete symmetry and supersymmetry of the Pauli Hamiltonian [PDF]

open access: yesCzechoslovak Journal of Physics, 2001
Starting from the full group of symmetries of a system we select a discrete subset of transformations which allows to introduce the Clifford algebra of operators generating new supercharges of extended supersymmetry. The system defined by the Pauli Hamiltonian is discussed.
Frydryszak, Andrzej M.   +1 more
openaire   +3 more sources

SYMMETRY CLASSIFICATION OF NEWTONIAN INCOMPRESSIBLEFLUID’S EQUATIONS FLOW IN TURBULENT BOUNDARY LAYERS [PDF]

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017
Lie group method is applicable to both linear and non-linear partial differential equations, which leads to find new solutions for partial differential equations.
Nadjafikhah M., Hejazi S.R.
doaj   +1 more source

On the Lie Symmetries of Kepler­Ermakov Systems [PDF]

open access: yesJournal of Nonlinear Mathematical Physics, 2002
In this work, we study the Lie-point symmetries of Kepler--Ermakov systems presented by C. Athorne in J. Phys. A24 (1991), L1385--L1389. We determine the forms of arbitrary function H(x,y) in order to find the members of this class possessing the sl(2,R) symmetry and a Lagrangian.
Karasu, Ayşe, Yildirim, Hasan
openaire   +3 more sources

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