Results 61 to 70 of about 336,880 (200)
Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
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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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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 Noether theorem for Markov processes [PDF]
Journal of Mathematical Physics, 2013 Noether's theorem links the symmetries of a quantum system with its conserved quantities, and is a cornerstone of quantum mechanics. Here we prove a version of Noether's theorem for Markov processes. In quantum mechanics, an observable commutes with the Hamiltonian if and only if its expected value remains constant in time for every state.
Baez, John C, Fong, Brendan
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A non-differentiable Noether's theorem
, 2011 cited By (since 1996)2International audienceIn the framework of the nondifferentiable embedding of Lagrangian systems, defined by Cresson and Greff [non-dierentiable embedding of lagrangian systems and partial dierential equations.
Cresson, Jacky +3 more
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Felix Klein and David Hilbert Prevented a Göttingen Appointment of Johannes Stark
Annalen der Physik, Volume 538, Issue 11, November 2026.During World War I, the Göttingen mathematicians, led by Felix Klein and David Hilbert, prevented Johannes Stark, a Göttingen trained experimental physicist, from being appointed Professor there. A particularly revealing letter dated July 1, 1915, presented in full and contextualized, reveals Stark's egocentric character, his dismissive attitude toward
Renate Tobies, Tilman Sauer
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Dynamical versus variational symmetries: understanding Noether's first theorem [PDF]
, 2004 It is argued that awareness of the distinction between dynamical and variational symmetries is crucial to understanding the significance of Noether's 1918 work.
Holland, Peter, Brown, Harvey R.
core
Noether's theorem for fractional optimal control problems
, 2006 http://dx.doi.org/10.3182/20060719-3-PT-4902.00013We begin by reporting on some recent results of the authors (Frederico and Torres, 2006), concerning the use of the fractional Euler-Lagrange notion to prove a Noether-like theorem for the problems of the
Frederico, G.S.F. +3 more
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Peskine Sixfolds and Debarre–Voisin Fourfolds With Associated Cubic Fourfolds
Mathematische Nachrichten, Volume 299, Issue 11, Page 3367-3391, November 2026.ABSTRACT We develop the notion of Peskine sixfolds with associated K3 surfaces and cubic fourfolds and work out numerical conditions for when these associations occur. In discriminant 24, the first family for which there is an associated cubic fourfold, we identify the cubic explicitly.
Corey Brooke +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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