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Lie symmetries in higher dimensional charged radiating stars [PDF]
HeliyonThis 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.
Noeleen Naidoo +2 more
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Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients. [PDF]
J Math Anal Appl, 2013 Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients are exhaustively described over both the complex and real fields.
Boyko VM, Popovych RO, Shapoval NM.
europepmc +2 more sources
Charged radiating stars with Lie symmetries
European Physical Journal C: Particles and Fields, 2019 We consider the general model of an accelerating, expanding and shearing radiating star in the presence of charge. Using a new set of variables arising from the Lie symmetries of differential equations we transform the boundary equation into ordinary ...
G. Z. Abebe, S. D. Maharaj
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Symmetry, 2022 This investigation focuses on two novel Kadomtsev–Petviashvili (KP) equations with time-dependent variable coefficients that describe the nonlinear wave propagation of small-amplitude surface waves in narrow channels or large straits with slowly varying ...
Sachin Kumar +4 more
semanticscholar +1 more source
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
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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 +1 more
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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 +3 more
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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
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Lie Symmetries of the Nonlinear Fokker–Planck Equation Based on Weighted Kaniadakis Entropy
Mathematics, 2022 The paper studies the Lie symmetries of the nonlinear Fokker–Planck equation in one dimension, which are associated to the weighted Kaniadakis entropy.
I. Hirica +3 more
semanticscholar +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 +4 more
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