Results 21 to 30 of about 544 (135)

On exact solvability of N=4 super Yang-Mills

Nuclear Physics B, 2022
We consider the ambitwistor description of N=4 supersymmetric extension of U(N) Yang-Mills theory on Minkowski space R3,1. It is shown that solutions of super-Yang-Mills equations are encoded in real analytic U(N)-valued functions on a domain in ...
Alexander D. Popov
doaj   +1 more source

The Long Shadow of Karl Weierstraß Over the Calculus of Variations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT At first glance, it appears that the contents of Karl Weierstraß's (1815–1897) lecture courses on the calculus of variations were made available to the public only in the seventh volume of his Mathematische Werke, and thus not until 30 years after his death.
Peter Ullrich
wiley   +1 more source

The Soliton Solutions for Nonlocal Multi-Component Higher-Order Gerdjikov–Ivanov Equation via Riemann–Hilbert Problem

Fractal and Fractional
The Lax pairs of the higher-order Gerdjikov–Ivanov (HOGI) equation are extended to the multi-component formula. Then, we first derive four different types of nonlocal group reductions to this new system.
Jinshan Liu, Huanhe Dong, Yong Fang, Yong Zhang   +3 more
doaj   +1 more source

A Riemann-Hilbert approach to rotating attractors

Journal of High Energy Physics, 2017
We construct rotating extremal black hole and attractor solutions in gravity theories by solving a Riemann-Hilbert problem associated with the Breitenlohner-Maison linear system. By employing a vectorial Riemann-Hilbert factorization method we explicitly
M. C. Câmara, G. L. Cardoso, T. Mohaupt, S. Nampuri   +3 more
doaj   +1 more source

Entanglement, Space–Time Coordinates, and Bell's Inequalities in Photon–Polarization Experiments

Annalen der Physik, Volume 538, Issue 9, September 2026.
This work presents a revised analysis of Bell‐type inequalities. It is argued that standard derivations of Bell‐type inequalities implicitly rely on additional assumptions beyond those originally stated, specifically concerning the cardinalities of the sets of measurements and photon‐pair properties.
Karl Hess, Jürgen Jakumeit
wiley   +1 more source

Riemann-Hilbert construction of N-soliton solutions for the n-component reverse-space-time nonlocal generalized Sasa-Satsuma system

Nuclear Physics B
This work examines an n-component reverse-space-time nonlocal generalized Sasa-Satsuma system within the Riemann-Hilbert framework. The equation under consideration is obtained from an unreduced 2n-component coupled generalized Sasa-Satsuma system after ...
Zhiguo Ren, Jing Yu
doaj   +1 more source

On the Riemann-Hilbert problem in multiply connected domains

Open Mathematics, 2016
We proved the existence of multivalent solutions with the infinite number of branches for the Riemann-Hilbert problem in the general settings of finitely connected domains bounded by mutually disjoint Jordan curves, measurable coefficients and measurable
Ryazanov Vladimir
doaj   +1 more source

Kubo-Martin-Schwinger relation for an interacting mobile impurity

Physical Review Research, 2023
In this work we study the Kubo-Martin-Schwinger (KMS) relation in the Yang-Gaudin model of an interacting mobile impurity. We use the integrability of the model to compute the dynamic injection and ejection Green's functions at finite temperatures.
Oleksandr Gamayun, Miłosz Panfil, Felipe Taha Sant'Ana   +2 more
doaj   +1 more source

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

A Circular Elastic Inhomogeneity With Two Interfacial Arc Cracks in Anti‐Plane Shear

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 9, September 2026.
ABSTRACT We consider the anti‐plane elasticity problem of a circular isotropic elastic inhomogeneity with two equal symmetric interfacial arc cracks embedded in an infinite isotropic elastic matrix. Using the conformal mapping function for quadrature domains by Crowdy (2015) and the method of images, we derive analytical solutions to the four typical ...
Xu Wang, Peter Schiavone
wiley   +1 more source