Results 21 to 30 of about 1,446 (167)

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
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Multi-solitons in the model of an inhomogeneous optical fiber

AIMS Mathematics
This paper was concerned with the inhomogeneous optical fiber model, which was governed by a nonlinear Schrödinger equation with variable coefficients.
Jinfang Li, Chunjiang Wang, Li Zhang, Jian Zhang   +3 more
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TBA equations and resurgent Quantum Mechanics

Journal of High Energy Physics, 2019
We derive a system of TBA equations governing the exact WKB periods in one-dimensional Quantum Mechanics with arbitrary polynomial potentials. These equations provide a generalization of the ODE/IM correspondence, and they can be regarded as the solution
Katsushi Ito, Marcos Mariño, Hongfei Shu   +2 more
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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
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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
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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
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The inhomogeneous complex partial differential equations for bi-polyanalytic functions

AIMS Mathematics
In this paper, we study a Riemann-Hilbert problem related to inhomogeneous complex partial differential operators of higher order on the unit disk. Applying the Cauchy-Pompeiu formula, we find out the solvable conditions and obtain the representation of ...
Yanyan Cui, Chaojun Wang
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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
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Weyl metrics and Wiener-Hopf factorization

Journal of High Energy Physics, 2020
We consider the Riemann-Hilbert factorization approach to the construction of Weyl metrics in four space-time dimensions. We present, for the first time, a rigorous proof of the remarkable fact that the canonical Wiener-Hopf factorization of a matrix ...
P. Aniceto, M.C. Câmara, G.L. Cardoso, M. Rosselló   +3 more
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The inverse scattering transform in the form of a Riemann-Hilbert problem for the Dullin-Gottwald-Holm equation [PDF]

Opuscula Mathematica, 2017
The Cauchy problem for the Dullin-Gottwald-Holm (DGH) equation \[u_t-\alpha^2 u_{xxt}+2\omega u_x +3uu_x+\gamma u_{xxx}=\alpha^2 (2u_x u_{xx} + uu_{xxx})\] with zero boundary conditions (as \(|x|\to\infty\)) is treated by the Riemann-Hilbert approach to
Dmitry Shepelsky, Lech Zielinski
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