Results 41 to 50 of about 437,825 (261)
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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Results in Physics, 2020 In this paper, the Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation is taken into consideration by means of Lie symmetry analysis. Infinitesimal generators are computed under the invariance criteria of Lie groups and symmetry group for each generator
Adil Jhangeer +5 more
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A comment on a paper by Carot et al
, 2000 In a recent paper Carot et al. considered carefully the definition of cylindrical symmetry as a specialisation of the case of axial symmetry. One of their propositions states that if there is a second Killing vector, which together with the one ...
Alan Barnes +6 more
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The newfound relationship between extrachromosomal DNAs and excised signal circles
FEBS Letters, EarlyView.Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley +1 more source
Lie symmetry reductions and exact solutions to a generalized two-component Hunter-Saxton system
AIMS Mathematics, 2021 Based on the classical Lie group method, a generalized two-component Hunter-Saxton system is studied in this paper. All of the its geometric vector fields, infinitesimal generators and the commutation relations of Lie algebra are derived.
Huizhang Yang, Wei Liu, Yunmei Zhao
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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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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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Symmetry, Local Linearization, and Gauge Classification of the Doebner-Goldin Equation
, 1995 For the family of nonlinear Schr\"odinger equations derived by H.-D.~Doebner and G.A.~Goldin (J.Phys.A 27, 1771) we calculate the complete set of Lie symmetries.
Auberson +28 more
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Automorphic Lie algebras with dihedral symmetry [PDF]
Journal of Physics A: Mathematical and Theoretical, 2014 20 pages, 5 tables, standard ...
Knibbeler, V. +2 more
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Transfer of Energy and Momentum Between Magnetoactive Surface Microstructure and a Solid Object
Advanced Engineering Materials, EarlyView.We demonstrate that magnetoactive multilamellar arrays subjected to a rotating magnetic field can function as platforms for controlled transport of physical objects. Through systematic experimental investigation, we elucidate the underlying physical mechanisms determining the upper limit of the achievable transportation speed in such magnetic “conveyor‐
Arne Geldof +9 more
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