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Lie Point Symmetries for Reduced Ermakov Systems [PDF]

Physics Letters A, 2004
Reduced Ermakov systems are defined as Ermakov systems restricted to the level surfaces of the Ermakov invariant. The condition for Lie point symmetries for reduced Ermakov systems is solved yielding four infinite families of systems. It is shown that SL(
Akulov, Athorne, Baumman, Ermakov, Goedert, Govinder, Govinder, Govinder, Haas, Haas, Haas, Haas, Hawkins, Ioffe, Karasu (Kalkanli), Leach, Leach, Lewis, Liang, Lidsey, Mostafazadeh, Olver, Paul, Pinney, Ray, Reid, Rosu   +26 more
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Note on Lie Point Symmetries of Burgers Equations

Trends in Computational and Applied Mathematics, 2010
. In this note we study the Lie point symmetries of a class of evolution equations and obtain a group classification of these equations. We also identify the classical Lie algebras that the symmetry Lie algebras are isomorphic to.
I. L. Freire
doaj   +4 more sources

Lie-point symmetries of the discrete Liouville equation [PDF]

Journal of Physics A: Mathematical and Theoretical, 2014
The Liouville equation is well known to be linearizable by a point transformation. It has an infinite dimensional Lie point symmetry algebra isomorphic to a direct sum of two Virasoro algebras.
Levi, Decio, Martina, Luigi, Winternitz, Pavel   +2 more
core   +6 more sources

Conservation laws, classical symmetries and exact solutions of the generalized KdV-Burgers-Kuramoto equation [PDF]

Open Physics, 2017
For a generalized KdV-Burgers-Kuramoto equation we have studied conservation laws by using the multiplier method, and investigated its first-level and second-level potential systems. Furthermore, the Lie point symmetries of the equation and the Lie point
Bruzón Maria S., Recio Elena, Garrido Tamara M., Márquez Almudena P.   +3 more
doaj   +4 more sources

Lie Point Symmetries, Traveling Wave Solutions and Conservation Laws of a Non-linear Viscoelastic Wave Equation [PDF]

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
doaj   +2 more sources

Lie Symmetry Analysis of the Black-Scholes-Merton Model for European Options with Stochastic Volatility

Mathematics, 2016
We perform a classification of the Lie point symmetries for the Black-Scholes-Merton Model for European options with stochastic volatility, σ, in which the last is defined by a stochastic differential equation with an Orstein-Uhlenbeck term.
Andronikos Paliathanasis, K. Krishnakumar, K.M. Tamizhmani, Peter G.L. Leach   +3 more
doaj   +4 more sources

Noether Symmetries and Critical Exponents

Symmetry, Integrability and Geometry: Methods and Applications, 2005
We show that all Lie point symmetries of various classes of nonlinear differential equations involving critical nonlinearities are variational/divergence symmetries.
Yuri Bozhkov
doaj   +4 more sources

Symmetries of Ricci flows

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, Dimas Stylianos, Bozhkov Yuri   +2 more
doaj   +1 more source

Lie group analysis for short pulse equation [PDF]

AUT Journal of Mathematics and Computing, 2020
In this paper, the classical Lie symmetry analysis and the generalized form of Lie symmetry method are performed for a general short pulse equation. The point, contact and local symmetries for this equation are given.
Mehdi Nadjafikhah
doaj   +1 more source

On the Property of Linear Autonomy for Symmetries of Fractional Differential Equations and Systems

Mathematics, 2022
The problem of finding Lie point symmetries for a certain class of multi-dimensional nonlinear partial fractional differential equations and their systems is studied.
Stanislav Yu. Lukashchuk
doaj   +1 more source