Results 41 to 50 of about 33,448 (315)
Constructing an explicit AdS/CFT correspondence with Cartan geometry
Nuclear Physics B, 2018 An explicit AdS/CFT correspondence is shown for the Lie group SO(4,2). The Lie symmetry structures allow for the construction of two physical theories through the tools of Cartan geometry.
Jeffrey S. Hazboun
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LIE SYMMETRIES FOR LATTICE EQUATIONS
Nonlinear Evolution Equations and Dynamical Systems, 2003 Summary: Lie symmetries has been introduced by Sophus Lie to study differential equations. It has been one of the most efficient way for obtaining exact analytic solution of differential equations. Here we show how one can extend this technique to the case of differential difference and difference equations.
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Differential Galois Theory and Lie Symmetries [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2015 We study the interplay between the differential Galois group and the Lie algebra of infinitesimal symmetries of systems of linear differential equations. We show that some symmetries can be seen as solutions of a hierarchy of linear differential systems.
Blázquez-Sanz, David +2 more
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Conservation laws for perturbed solitons in optical metamaterials
Results in Physics, 2018 The conservation laws for the dynamics of soliton propagation through optical metamaterials are derived by the aid of Lie symmetry analysis. The proposed model will be studied with two forms of nonlinearity. They are Kerr law and parabolic law. Keywords:
Anjan Biswas +6 more
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Lie symmetries and Noether symmetries
Applicable Analysis and Discrete Mathematics, 2012 We demonstrate that so-called nonnoetherian symmetries with which a known first integral is associated of a differential equation derived from a Lagrangian are in fact noetherian. The source of the misunderstanding lies in the nonuniqueness of the Lagrangian.
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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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SYMMETRY CLASSIFICATION OF NEWTONIAN INCOMPRESSIBLEFLUID’S EQUATIONS FLOW IN TURBULENT BOUNDARY LAYERS [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017 Lie group method is applicable to both linear and non-linear partial differential equations, which leads to find new solutions for partial differential equations.
Nadjafikhah M., Hejazi S.R.
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Structural biology of ferritin nanocages
FEBS Letters, EarlyView.Ferritin is a conserved iron‐storage protein that sequesters iron as a ferric mineral core within a nanocage, protecting cells from oxidative damage and maintaining iron homeostasis. This review discusses ferritin biology, structure, and function, and highlights recent cryo‐EM studies revealing mechanisms of ferritinophagy, cellular iron uptake, and ...
Eloise Mastrangelo, Flavio Di Pisa
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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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Multidimensional Profiling of MRI‐Negative Temporal Lobe Epilepsy Uncovers Distinct Phenotypes
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Although hippocampal sclerosis (TLE‐HS) represents the most frequent cause of temporal lobe epilepsy (TLE), up to 30% of patients show no lesion on visual MRI inspection (TLE‐MRIneg). These cases pose diagnostic and therapeutic challenges and are underrepresented in surgical series.
Alice Ballerini +28 more
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