Results 61 to 70 of about 1,719 (178)
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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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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Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality
Mathematische Nachrichten, Volume 299, Issue 3, Page 514-528, March 2026.Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
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A Century Of Noether'S Theorem
, 2018 Fermilab Colloquium, August 15, 2018. Abstract: In the summer of 1918, Emmy Noether published the theorem that now bears her name, establishing a profound connection between symmetries and conservation laws. The influence of this insight is pervasive in physics; it underlies all of our theories of the fundamental interactions and gives meaning to ...
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Reduction theorems for Noether’s problem [PDF]
Proceedings of the American Mathematical Society, 2009 Let K K be any field, and G
Kang, M.C., Plans, B.
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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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On the Euler characteristic of S$S$‐arithmetic groups
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
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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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Noether's Theorem and time-dependent quantum invariants
, 1994 The time dependent-integrals of motion, linear in position and momentum operators, of a quantum system are extracted from Noether's theorem prescription by means of special time-dependent variations of coordinates.
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Osculating geometry and higher‐order distance Loci
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We discuss the problem of optimizing the distance function from a given point, subject to polynomial constraints. A key algebraic invariant that governs its complexity is the Euclidean distance degree, which pertains to first‐order tangency. We focus on the data locus of points possessing at least one critical point of the distance function ...
Sandra Di Rocco +2 more
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