Results 21 to 30 of about 111,630 (280)
Mathematics, 2022 We obtain similarity transformations to reduce a system of partial differential equations representing the unsteady fluid flow and heat transfer in a boundary layer with heat generation/absorption using Lie symmetry algebra.
Muhammad Bilal +5 more
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Partial Lie-point symmetries of differential equations [PDF]
Journal of Physics A: Mathematical and General, 2001 When we consider a differential equation $ =0$ whose set of solutions is ${\cal S}_ $, a Lie-point exact symmetry of this is a Lie-point invertible transformation $T$ such that $T({\cal S}_ )={\cal S}_ $, i.e. such that any solution to $ =0$ is tranformed into a (generally, different) solution to the same equation; here we define {\it partial ...
CICOGNA, GIAMPAOLO, Gaeta G.
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Lie point symmetries of near-horizon geometry equation [PDF]
Physical Review D, 2020 All the Lie point symmetries of the near extremal horizon geometry equation, in the case of 4-dimensional Einstein vacuum spacetime with cosmological constant, are the diffeomorphisms of the space of the null generators of the horizon. This result is also generalised to the Maxwell-Einstein spacetime.
E. Buk, J. Lewandowski, A. Szereszewski
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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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Ordinary differential equations described by their Lie symmetry algebra [PDF]
, 2014 The theory of Lie remarkable equations, i.e. differential equations characterized by their Lie point symmetries, is reviewed and applied to ordinary differential equations.
Manno, Gianni +3 more
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Lie point symmetries of the Lane–Emden systems
Journal of Mathematical Analysis and Applications, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bozhkov, Yuri +1 more
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Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers Equation
Discrete Dynamics in Nature and Society, 2012 We discuss the Lie point symmetries and discrete symmetries of the inviscid Burgers equation. By employing the Lie group method of infinitesimal transformations, symmetry reductions and similarity solutions of the governing equation are given.
Hongwei Yang +3 more
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Lie symmetry and exact homotopic solutions of a non-linear double-diffusion problem
Frontiers in Physics, 2023 The Lie symmetry method is applied, and exact homotopic solutions of a non-linear double-diffusion problem are obtained. Additionally, we derived Lie point symmetries and corresponding transformations for equations representing heat and mass transfer in ...
R. A. Khan +5 more
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Algebraic Properties of First Integrals for Scalar Linear Third-Order ODEs of Maximal Symmetry
Abstract and Applied Analysis, 2013 By use of the Lie symmetry group methods we analyze the relationship between the first integrals of the simplest linear third-order ordinary differential equations (ODEs) and their point symmetries. It is well known that there are three classes of linear
K. S. Mahomed, E. Momoniat
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On Lie Point Symmetries in Differential Games [PDF]
SSRN Electronic Journal, 2010 A technique to determine closed-loop Nash equilibria of n-player differential games is developed when their dynamic state-control system is composed of decoupled ODEs. In particular, the theory of Lie point symmetries is exploited to achieve first integrals of such systems.
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