Results 41 to 50 of about 2,411,038 (347)
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 applied to interval integration
Automatica, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Julien Damers, Luc Jaulin, Simon Rohou
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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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A List of 1 + 1 Dimensional Integrable Equations and Their Properties [PDF]
, 2001 This paper contains a list of known integrable systems. It gives their recursion-, Hamiltonian-, symplectic- and cosymplectic operator, roots of their symmetries and their scaling ...
Jing Ping Wang, Wang, Jing Ping
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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
Optical and quantum electronicsThis paper presents a comprehensive analysis of the (1+1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
Tariq Mahmood +3 more
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Lie symmetries for systems of evolution equations [PDF]
, 2017 The Lie symmetries for a class of systems of evolution equations are studied. The evolution equations are defined in a bimetric space with two Riemannian metrics corresponding to the space of the independent and dependent variables of the differential ...
A. Paliathanasis, M. Tsamparlis
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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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Conservation laws, symmetry reductions, and exact solutions of some Keller–Segel models
Advances in Difference Equations, 2018 In this paper, three Keller–Segel models are considered from the point of Lie symmetry analysis, conservation laws, symmetry reduction, and exact solutions. By means of Lie symmetry analysis, we first obtain all the symmetries for the three models. Based
Lihua Zhang, Fengsheng Xu
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Lie symmetries of the shigesada-Kawasaki-Teramoto system [PDF]
Communications in nonlinear science & numerical simulation, 2016 The Shigesada–Kawasaki–Teramoto system, which consists of two reaction-diffusion equations with variable cross-diffusion and quadratic nonlinearities, is considered.
R. Cherniha, V. Davydovych, L. Muzyka
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