Results 21 to 30 of about 123,609 (284)
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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From Lagrangian to Quantum Mechanics with Symmetries [PDF]
, 2012 We present an old and regretfully forgotten method by Jacobi which allows one to find many Lagrangians of simple classical models and also of nonconservative systems. We underline that the knowledge of Lie symmetries generates Jacobi last multipliers and
Ames W F +23 more
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Non-relativistic conformal symmetries and Newton-Cartan structures [PDF]
, 2009 This article provides us with a unifying classification of the conformal infinitesimal symmetries of non-relativistic Newton-Cartan spacetime. The Lie algebras of non-relativistic conformal transformations are introduced via the Galilei structure.
Christian Duval +3 more
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Birkhoff’s Theorem and Lie Symmetry Analysis
Journal of High Energy Physics, Gravitation and Cosmology, 2021 Three dimensional space is said to be spherically symmetric if it admits SO(3) as the group of isometries. Under this symmetry condition, the Einsteins Field equations for vacuum, yields the Schwarzschild Metric as the unique solution, which essentially is the statement of the well known Birkhoffs Theorem.
Mukherjee, Avijit, Roy, Subham B
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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 symmetries of Benjamin-Ono equation
Mathematical Biosciences and Engineering, 2021 <abstract><p>Lie Symmetry analysis is often used to exploit the conservative laws of nature and solve or at least reduce the order of differential equation. One dimension internal waves are best described by Benjamin-Ono equation which is a nonlinear partial integro-differential equation. Present article focuses on the Lie symmetry analysis
Weidong Zhao +3 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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On Lie Symmetries of Hyperbolic Model Metric of SL(n, R) Geometry
پژوهشهای ریاضی, 2020 Introduction Symmetries of an equation are closely related to conservation laws. Noether's theorem provides a method for finding conservation laws of differential equations arising from a known Lagrangian and having a known Lie symmetry.
Rohollah Bakhshandeh Chamazkoti
doaj
Symmetries of nonlinear ordinary differential equations: the modified Emden equation as a case study
, 2015 Lie symmetry analysis is one of the powerful tools to analyze nonlinear ordinary differential equations. We review the effectiveness of this method in terms of various symmetries. We present the method of deriving Lie point symmetries, contact symmetries,
Chandrasekar, V. K. +2 more
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Lie symmetries of a Painleve-type equation without Lie symmetries
Journal of Nonlinear Mathematical Physics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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