Results 11 to 20 of about 437,825 (261)
Weak Lie Symmetry and extended Lie algebra [PDF]
Journal of Mathematical Physics, 2012 The concept of weak Lie motion (weak Lie symmetry) is introduced through ${\cal{L}}_{\xi}{\cal{L}}_{\xi}g_{ab}=0,$ (${\cal{L}}_{\xi}{\cal{L}}_{\xi}f=0$). Applications are given which exhibit a reduction of the usual symmetry, e.g., in the case of the the
Goenner, Hubert F. M.
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Random Lie-point symmetries [PDF]
Journal of Nonlinear Mathematical Physics, 2021 We introduce the notion of a random symmetry. It consists of taking the action given by a deterministic flow that maintains the solutions of a given differential equation invariant and replacing it with a stochastic flow. This generates a random action, which we call a random symmetry.
Luis Roberto Lucinger +1 more
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Finding nonlocal Lie symmetries algorithmically
Chaos, Solitons & Fractals, 2023 Here we present a new approach to compute symmetries of rational second order ordinary differential equations (rational 2ODEs). This method can compute Lie symmetries (point symmetries, dynamical symmetries and non-local symmetries) algorithmically.
L.G.S. Duarte +2 more
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Lorentz transformations as Lie–Poisson symmetries [PDF]
Journal 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.
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Jacobi–Lie symmetry and Jacobi–Lie T-dual sigma models on group manifolds
Nuclear Physics B, 2018 Using the concept of Jacobi–Lie group and Jacobi–Lie bialgebra, we generalize the definition of Poisson–Lie symmetry to Jacobi–Lie symmetry. In this regard, we generalize the concept of Poisson–Lie T-duality to Jacobi–Lie T-duality and present Jacobi–Lie
A. Rezaei-Aghdam, M. Sephid
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An Infinite Dimensional Approach to the Third Fundamental Theorem of Lie [PDF]
, 2008 We revisit the third fundamental theorem of Lie (Lie III) for finite dimensional Lie algebras in the context of infinite dimensional matrices.Comment: This is a contribution to the Proc.
Bourgin, Richard D., Robart, Thierry P.
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Journal of Taibah University for Science, 2022 This study's subject is a (3 + 1) dimensional new Hirota bilinear (NHB) equation that appears in the theory of shallow water waves. We investigate how particular dispersive waves behave in an NHB equation.
Nursena Günhan Ay, Emrullah Yaşar
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Lie Symmetry Analysis for Cosserat Rods [PDF]
, 2014 We consider a subsystem of the Special Cosserat Theory of Rods and construct an explicit form of its solution that depends on three arbitrary functions in (s,t) and three arbitrary functions in t.
Gerdt, Vladimir P. +4 more
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Lie algebraic noncommuting structures from reparametrisation symmetry [PDF]
, 2007 We extend our earlier work of revealing both space-space and space-time noncommuting structures in various models in particle mechanics exhibiting reparametrisation symmetry.
Dirac P. A. M. +3 more
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Analysis of the Symmetries and Conservation Laws of the Nonlinear Jaulent-Miodek Equation
Abstract and Applied Analysis, 2014 Lie symmetry method is performed for the nonlinear Jaulent-Miodek equation. We will find the symmetry group and optimal systems of Lie subalgebras. The Lie invariants associated with the symmetry generators as well as the corresponding similarity reduced
Mehdi Nadjafikhah, Mostafa Hesamiarshad
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