Results 51 to 60 of about 1,695 (179)
GOLDSTONE THEOREM AND JAHN-TELLER EFFECT [PDF]
, 1967 The Goldstone theorem requires that a many-body system with broken symmetry has an excitation branch, whose frequency tends to zero in the limit of infinite wavelength.
SARFATT, J, STONEHAM, AM
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Some Reduction and Exact Solutions of a Higher-Dimensional Equation
Abstract and Applied Analysis, 2014 The conservation laws of the (3+1)-dimensional Zakharov-Kuznetsov equation were obtained using Noether’s theorem after an interesting substitution u=vx to the equation.
Guangming Wang, Zhong Han
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Analogues to Lie Method and Noether’s Theorem in Fractal Calculus
Fractal and Fractional, 2019 In this manuscript, we study symmetries of fractal differential equations. We show that using symmetry properties, one of the solutions can map to another solution.
Alireza Khalili Golmankhaneh +1 more
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Geometric reduction in optimal control theory with symmetries
, 2003 A general study of symmetries in optimal control theory is given, starting from the presymplectic description of this kind of system. Then, Noether's theorem, as well as the corresponding reduction procedure (based on the application of the Marsden ...
A. Echeverría-Enríquez +38 more
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Results in Physics, 2021 This paper studies the second extended Calogero-Bogoyavlenskii-Schiff (eCBS) equation in (2+1)–dimensions, which was proposed in the literature a short time ago.
Chaudry Masood Khalique, Anila Mehmood
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Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative U(1) gauge theory
Journal of High Energy PhysicsThis article focuses on three main contributions. Firstly, we provide an in-depth overview of the nonlocal Lagrangian formalism. Secondly, we introduce an extended version of the second Noether’s theorem tailored for nonlocal Lagrangians.
Carlos Heredia, Josep Llosa
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Results in Physics, 2020 In this work, we analytically examine a (3+1)-dimensional generalized Korteweg-de Vries-Zakharov-Kuznetsov equation (gKdV-ZKe). Solutions of this equation, including a non-topological soliton, are obtained by Lie symmetry reductions and direct ...
Chaudry Masood Khalique +1 more
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Journal of High Energy PhysicsThe BRST Noether theorem, or “Noether’s 1.5 theorem”, asserts the triviality of the BRST Noether current. We provide two proofs of this theorem that are both valid without restriction on the structure of the gauge theory, extending thereby previous ...
Glenn Barnich +3 more
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AppliedMathThis paper aims to study the modified Gardner (mG) equation that was proposed in the literature a short while ago. We first construct conserved vectors of the mG equation by invoking three different techniques; namely the method of multiplier, Noether’s ...
Chaudry Masood Khalique +2 more
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Noether's Theorem for Control Problems on Time Scales [PDF]
, 2014 We prove a generalization of Noether's theorem for optimal control problems defined on time scales. Particularly, our results can be used for discrete-time, quantum, and continuous-time optimal control problems.
A. B. Malinowska +4 more
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