Results 51 to 60 of about 9,958 (153)

On the solutions and conservation laws of the Yu–Toda–Sasa–Fukuyama equation of plasma physics

Results in Physics, 2021
In this work, we investigate the two-dimensional Yu–Toda–Sasa–Fukuyama equation, which has many applications in plasma physics and other fields of study in natural sciences.
Karabo Plaatjie, Chaudry Masood Khalique
doaj   +1 more source

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
wiley   +1 more source

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, Cemil Tunç   +1 more
doaj   +1 more source

A study of (3+1)-dimensional generalized Korteweg-de Vries- Zakharov-Kuznetsov equation via Lie symmetry approach

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, Oke Davies Adeyemo   +1 more
doaj   +1 more source

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, Kemal Rose, Luca Sodomaco   +2 more
wiley   +1 more source

Fractional conservation laws in optimal control theory

, 2007
Using the recent formulation of Noether's theorem for the problems of the calculus of variations with fractional derivatives, the Lagrange multiplier technique, and the fractional Euler-Lagrange equations, we prove a Noether-like theorem to the more ...
D. Baleanu, D. Baleanu, D. Baleanu, D.F.M. Torres, D.F.M. Torres, Delfim F. M. Torres, E.M. Rabei, F. Riewe, F. Riewe, G. Jumarie, G. Jumarie, G.S.F. Frederico, Gastão S. F. Frederico, I.A. Dzenite, K.S. Miller, M. Klimek, M. Klimek, M. Klimek, M. Klimek, O.P. Agrawal, O.P. Agrawal, O.P. Agrawal, P.D.F. Gouveia, R.A. El-Nabulsi, R.A. El-Nabulsi, R.A. El-Nabulsi, S.G. Samko, S.I. Muslih, S.I. Muslih, S.I. Muslih, V.E. Tarasov   +30 more
core   +1 more source

Splitting the difference: Computations of the Reynolds operator in classical invariant theory

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract If G$G$ is a linearly reductive group acting rationally on a polynomial ring S$S$, then the inclusion SG↪S$S^{G} \hookrightarrow S$ possesses a unique G$G$‐equivariant splitting, called the Reynolds operator. We describe algorithms for computing the Reynolds operator for the classical actions as in Weyl's book.
Aryaman Maithani
wiley   +1 more source

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, Agnieszka B. Malinowska, M. R. Sidi Ammi, Moulay Rchid, Sidi Ammi   +4 more
core  

On higher Jacobians, Laplace equations, and Lefschetz properties

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Let A$A$ be a standard graded Artinian K$\mathbb {K}$‐algebra over a field of characteristic zero. We prove that the failure of strong Lefschetz property (SLP) for A$A$ is equivalent to the osculating defect of a certain rational variety.
Charles Almeida, Aline V. Andrade, Rodrigo Gondim   +2 more
wiley   +1 more source

Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative U(1) gauge theory

Journal of High Energy Physics
This 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
doaj   +1 more source