Results 11 to 20 of about 123,268 (267)
Advances 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
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Conservation law and Lie symmetry analysis of Foam Drainage equation [PDF]
AUT 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
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Mathematics, 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
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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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SYMMETRY CLASSIFICATION OF NEWTONIAN INCOMPRESSIBLEFLUID’S EQUATIONS FLOW IN TURBULENT BOUNDARY LAYERS [PDF]
Vestnik 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.
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How to find discrete contact symmetries [PDF]
, 1998 This paper describes a new algorithm for determining all discrete contact symmetries of any differential equation whose Lie contact symmetries are known. The method is constructive and is easy to use.
Atiyah M.F. +20 more
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Mathematics, 2021 This paper studies a non-linear viscoelastic wave equation, with non-linear damping and source terms, from the point of view of the Lie groups theory.
Almudena P. Márquez, María S. Bruzón
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Weak Lie symmetry and extended Lie algebra [PDF]
Journal of Mathematical Physics, 2013 The concept of weak Lie motion (weak Lie symmetry) is introduced. Applications given exhibit a reduction of the usual symmetry, e.g., in the case of the rotation group. In this context, a particular generalization of Lie algebras is found (“extended Lie algebras”) which turns out to be an involutive distribution or a simple example for a tangent Lie ...
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Reduction of Algebraic Parametric Systems by Rectification of their Affine Expanded Lie Symmetries [PDF]
, 2006 Lie group theory states that knowledge of a $m$-parameters solvable group of symmetries of a system of ordinary differential equations allows to reduce by $m$ the number of equations. We apply this principle by finding some \emph{affine derivations} that
G. Bluman +5 more
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