Results 11 to 20 of about 530,977 (309)
Lie point symmetries of difference equations and lattices [PDF]
Journal of Physics A: Mathematical and General, 2000 A method is presented for finding the Lie point symmetry transformations acting simultaneously on difference equations and lattices, while leaving the solution set of the corresponding difference scheme invariant.
D. Levi +2 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 differential–difference equations [PDF]
Journal of Physics A: Mathematical and Theoretical, 2010 We present an algorithm for determining the Lie point symmetries of differential equations on fixed non transforming lattices, i.e. equations involving both continuous and discrete independent variables.
D. Levi, P. Winternitz, R. I. Yamilov
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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 +2 more sources
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 +3 more
doaj +4 more sources
Erzeugung nichtlinearer gewöhnlicher Differentialgleichungen mit vorgegebener Lie-Algebra von Punktsymmetrien [Generation of ordinary differential equations with predetermined Lie algebra of point symmetries] [PDF]
arXiv, 2003 For any $n\in\mathbb{N}$ a nonlinear ordinary differential equation with Lie algebra of point symmetries isomorphic to $\frak{sl}(2,\mathbb{R})$ is given.
Rutwig Campoamor-Stursberg
arxiv +3 more sources
Random Lie-point symmetries [PDF]
Journal of Nonlinear Mathematical Physics, 2015 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.
Catuogno, Pedro Jose +1 more
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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 +2 more
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ON PARTIAL DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH SYMMETRIES DEPENDING ON ARBITRARY FUNCTIONS [PDF]
Acta Polytechnica, 2016 In this note we present some ideas on when Lie symmetries, both point and generalized, can depend on arbitrary functions. We show a few examples, both in partial differential and partial difference equations where this happens.
Giorgio Gubbiotti +2 more
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Random Lie-point symmetries of stochastic differential equations [PDF]
Journal of Mathematical Physics, 2017 We study the invariance of stochastic differential equations under random diffeomorphisms, and establish the determining equations for random Lie-point symmetries of stochastic differential equations, both in Ito and in Stratonovich form. We also discuss
Gaeta, Giuseppe, Spadaro, Francesco
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