Results 1 to 10 of about 3,842 (166)

Lie symmetries in higher dimensional charged radiating stars [PDF]

Heliyon
This study investigates the Lie symmetry properties of matter variables, spacetime dimension, and kinematic quantities in spherically symmetric radiating stars undergoing gravitational collapse in higher dimensional spacetimes.
Keshlan Govinder, Sunil Maharaj, Noeleen Naidoo   +2 more
exaly   +4 more sources

Lie symmetries applied to interval integration

Automatica, 2022
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Simon Rohou, Luc Jaulin
exaly   +3 more sources

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

Lie Symmetry Analysis of the Aw–Rascle–Zhang Model for Traffic State Estimation

Mathematics, 2022
We extend our analysis on the Lie symmetries in fluid dynamics to the case of macroscopic traffic estimation models. In particular we study the Aw–Rascle–Zhang model for traffic estimation, which consists of two hyperbolic first-order partial ...
Andronikos Paliathanasis, Peter G. L. Leach   +1 more
doaj   +1 more source

Lie group analysis of the general Karmarkar condition

European Physical Journal C: Particles and Fields, 2023
The Karmarkar embedding condition in different spherically symmetrical metrics is studied in general using Lie symmetries. In this study, the Lie symmetries for conformally flat and shear-free metrics are studied which extend recent results.
Sunil D. Maharaj, Noeleen Naidoo, Gareth Amery, Keshlan S. Govinder   +3 more
doaj   +1 more source

Disconnected 0-form and 2-group symmetries

Journal of High Energy Physics, 2023
Quantum field theories can have both continuous and finite 0-form symmetries. We study global symmetry structures that arise when both kinds of 0-form symmetries are present. The global structure associated to continuous 0-form symmetries is described by
Lakshya Bhardwaj, Dewi S. W. Gould
doaj   +1 more source

Lie symmetry analysis for generalized short pulse equation

Open Physics, 2022
Lie symmetry analysis (LSA) is one of the most common, effective, and estimation-free methods to find the symmetries and solutions of the differential equations (DEs) by following an algorithm.
Zhao Weidong, Munir Muhammad Mobeen, Bashir Hajra, Ahmad Daud, Athar Muhammad   +4 more
doaj   +1 more source

Conservation law and Lie symmetry analysis of Foam Drainage equation [PDF]

AUT Journal of Mathematics and Computing, 2021
In this paper, using the Lie group analysis method, we study the group invariant of the Foam Drainage equation. It shows that this equation can be reduced to ODE.
Mehdi Nadjafikhah, Omid Chekini
doaj   +1 more source

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

Generalized Camassa–Holm Equations: Symmetry, Conservation Laws and Regular Pulse and Front Solutions

Mathematics, 2021
In this paper, we consider a member of an integrable family of generalized Camassa–Holm (GCH) equations. We make an analysis of the point Lie symmetries of these equations by using the Lie method of infinitesimals.
Maria Santos Bruzón, Gaetana Gambino, Maria Luz Gandarias   +2 more
doaj   +1 more source