Results 1 to 10 of about 11,899 (141)

A Riemann-Hilbert Approach to the Multicomponent Kaup-Newell Equation

Advances in Mathematical Physics, 2020
A Riemann-Hilbert approach is developed to the multicomponent Kaup-Newell equation. The formula is presented of N-soliton solutions through an identity jump matrix related to the inverse scattering problems with reflectionless potential.
Jian-bing Zhang, Ze-xuan Zhang
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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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New gravitational solutions via a Riemann-Hilbert approach

Journal of High Energy Physics, 2018
We consider the Riemann-Hilbert factorization approach to solving the field equations of dimensionally reduced gravity theories. First we prove that functions belonging to a certain class possess a canonical factorization due to properties of the ...
G. L. Cardoso, J. C. Serra
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Solving the coupled Gerdjikov–Ivanov equation via Riemann–Hilbert approach on the half line [PDF]

Scientific Reports
In this research, the Fokas method is adopted to examine the coupled Gerdjikov–Ivanov equation within the half line interval $$(-\infty ,0]$$ . Meanwhile, the Riemann–Hilbert technique is engaged to work out the potential function associated with the ...
Jiawei Hu, Huanhe Dong, Ning Zhang
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A Theoretical Solution for Analyzing Bi-Layer Structures with Differing Thermal Properties [PDF]

Micromachines
Based on the Hilbert–Riemann theory, this paper develops a simplified model to address interfacial fracture in bi-layer laminated solar cells with significantly dissimilar thermal properties.
Qianhua Peng, Siyuan Zhou, Yan Shi, Xiaohui Qian   +3 more
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The Modified Coupled Hirota Equation: Riemann-Hilbert Approach and N-Soliton Solutions

Abstract and Applied Analysis, 2019
The Cauchy initial value problem of the modified coupled Hirota equation is studied in the framework of Riemann-Hilbert approach. The N-soliton solutions are given in a compact form as a ratio of (N+1)×(N+1) determinant and N×N determinant, and the ...
Siqi Xu
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Riemann-Hilbert approach for the integrable nonlocal nonlinear Schr\"odinger equation with step-like initial data

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2018
We study the Cauchy problem for the integrable nonlocal nonlinear Schr\"odinger (NNLS) equation \[ iq_{t}(x,t)+q_{xx}(x,t)+2 q^{2}(x,t)\bar{q}(-x,t)=0 \] with a step-like initial data: $q(x,0)=o(1)$ as $x\to-\infty$ and $q(x,0)=A+o(1)$ as $x\to\infty ...
Ya. Rybalko, D. G. Shepelsky
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Diagonalization of the finite Hilbert transform on two adjacent intervals: the Riemann-Hilbert approach. [PDF]

Anal Math Phys, 2020
In this paper we study the spectra of bounded self-adjoint linear operators that are related to finite Hilbert transforms H-L : L-2([b(L), 0]) -> L-2([0, b(R)]) and H-R : L-2([0, b(R)]) -> L-2([b(L), 0]).
Bertola M, Blackstone E, Katsevich A, Tovbis A.   +3 more
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Unitarized one-loop graviton-graviton scattering [PDF]

EPJ Web of Conferences, 2022
In this work we interpret the Einstein-Hilbert (EH) Lagrangian of gravitation as the first term of a low-energy effective theory similar to those considered in the chiral Lagrangian approach to low-energy hadron physics or the electroweak chiral ...
Delgado Rafael L., Dobado Antonio, Espriu Domènec   +2 more
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The N-soliton solutions to the M-components nonlinear Schrödinger equations by the Riemann–Hilbert approach

Partial Differential Equations in Applied Mathematics, 2022
In this paper, the main work is to study the N-soliton solutions for the M-component nonlinear Schrödinger equations, the matrix Riemann–Hilbert problem is constructed for this integrable hierarchies by analyzing the block matrix spectral problem of the ...
Jian Li, Tiecheng Xia
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