Results 41 to 50 of about 1,695 (179)
Higher-Stage Noether Identities and Second Noether Theorems [PDF]
Advances in Mathematical Physics, 2015 The direct and inverse second Noether theorems are formulated in a general case of reducible degenerate Grassmann-graded Lagrangian theory of even and odd variables on graded bundles. Such Lagrangian theory is characterized by a hierarchy of nontrivial higher-stage Noether identities which is described in the homology terms.
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The classical theory of calculus of variations for generalized functions
Advances in Nonlinear Analysis, 2017 We present an extension of the classical theory of calculus of variations to generalized functions. The framework is the category of generalized smooth functions, which includes Schwartz distributions, while sharing many nonlinear properties with ...
Lecke Alexander +2 more
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Second Noether theorem for quasi-Noether systems [PDF]
Journal of Physics A: Mathematical and Theoretical, 2016 Accepted in Journal of Physics ...
Rosenhaus, V., Shankar, Ravi
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The equivalence principle is NOT a Noether symmetry
European Physical Journal C: Particles and FieldsThe connection between the equivalence principle and Noether’s theorem was discussed in Capozziello and Ferrara (Int J Geom Methods Mod Phys 21:2440014, 2024).
Andronikos Paliathanasis
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Gauge invariant Noether’s theorem and the proton spin crisis
Journal of High Energy Physics, 2018 Due to proton spin crisis it is necessary to understand the gauge invariant definition of the spin and orbital angular momentum of the quark and gluon from first principle.
Gouranga C. Nayak
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Exact Solutions and Conserved Vectors of the Two-Dimensional Generalized Shallow Water Wave Equation
Mathematics, 2021 In this article, we investigate a two-dimensional generalized shallow water wave equation. Lie symmetries of the equation are computed first and then used to perform symmetry reductions.
Chaudry Masood Khalique, Karabo Plaatjie
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A formulation of Noether's theorem for fractional classical fields
, 2022 This paper presents a formulation of Noether's theorem for fractional classical fields. We extend the variational formulations for fractional discrete systems to fractional field systems. By applying the variational principle to a fractional action $S$,
Muslih, Sami I.
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Conserved momenta of ferromagnetic solitons through the prism of differential geometry
SciPost Physics, 2021 The relation between symmetries and conservation laws for solitons in a ferromagnet is complicated by the presence of gyroscopic (precessional) forces, whose description in the Lagrangian framework involves a background gauge field.
Xingjian Di, Oleg Tchernyshyov
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Extension the Noether's theorem to Lagrangian formulation with nonlocality
, 2012 A Lagrangian formulation with nonlocality is investigated in this paper. The nonlocality of the Lagrangian is introduced by a new nonlocal argument that is defined as a nonlocal residual satisfying the zero mean condition.
Atkinson C. +3 more
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On the solutions and conservation laws of the 2D breaking soliton equation of fluid mechanics
Partial Differential Equations in Applied Mathematics, 2021 In this article, we study two-dimensional generalized breaking soliton equation, which describes two-dimensional interchange of Riemann wave disseminating alongside y-axis with a long wave disseminating alongside x-axis. We derive Lie symmetry generators
Karabo Plaatjie, Chaudry Masood Khalique
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