Results 1 to 10 of about 1,494 (182)

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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Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem

Symmetry, Integrability and Geometry: Methods and Applications, 2007
A GBDT version of the Bäcklund-Darboux transformation is constructed for a non-isospectral canonical system, which plays essential role in the theory of random matrix models. The corresponding Riemann-Hilbert problem is treated and some explicit formulas
Alexander Sakhnovich
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SOLVABILITY HOMOGENEOUS RIEMANN-HILBERT BOUNDARY VALUE PROBLEM WITH SEVERAL POINTS OF TURBULENCE

Проблемы анализа, 2018
We consider the so called Hilbert boundary value problem with infinite index in the unit disk. Its coefficient is assumed to be H¨older-continuous everywhere on the unit circle excluding a finite set of points.
Fatykhov A . Kh ., Shabalin P . L .
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Resurgence and Riemann-Hilbert Problems for Elliptic Calabi-Yau Threefolds. [PDF]

Commun Math Phys
Bridgeland T, Tulli I.
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Riemann–Hilbert boundary value problem for multidimensional elliptic systems of equations

Lietuvos Matematikos Rinkinys, 2023
Multidimensional analogues of Cauchy–Riemann quations and of Riemann–Hilbert boundary value problem are studied. Their relation to the scalar boundary value problem is demonstrated.
Eugenijus Paliokas
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Riemann–Hilbert Problem for the Matrix Laguerre Biorthogonal Polynomials: The Matrix Discrete Painlevé IV

Mathematics, 2022
In this paper, the Riemann–Hilbert problem, with a jump supported on an appropriate curve on the complex plane with a finite endpoint at the origin, is used for the study of the corresponding matrix biorthogonal polynomials associated with Laguerre type ...
Amílcar Branquinho, Ana Foulquié Moreno, Assil Fradi, Manuel Mañas   +3 more
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Hilbert boundary value problem for generalized analytic functions with a singular line [PDF]

E3S Web of Conferences, 2021
In this paper, we study an inhomogeneous Hilbert boundary value problem with a finite index and a boundary condition on a circle for a generalized Cauchy-Riemann equation with a singular coefficient.
Shabalin Pavel, Faizov Rafael
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Long-time asymptotics for the generalized Sasa-Satsuma equation

AIMS Mathematics, 2020
In this paper, we study the long-time asymptotic behavior of the solution of the Cauchy problem for the generalized Sasa-Satsuma equation. Starting with the 3 × 3 Lax pair related to the generalized Sasa-Satsuma equation, we construct a Rieman-Hilbert ...
Kedong Wang, Xianguo Geng, Mingming Chen, Ruomeng Li   +3 more
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Riemann–Hilbert approach and N-soliton solution for an eighth-order nonlinear Schrödinger equation in an optical fiber

Advances in Difference Equations, 2019
This paper aims to present an application of the Riemann–Hilbert approach to treat higher-order nonlinear differential equation that is an eighth-order nonlinear Schrödinger equation arising in an optical fiber. Starting from the spectral analysis of the
Zhou-Zheng Kang, Tie-Cheng Xia, Wen-Xiu Ma   +2 more
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Multiple-Pole Solutions to a Semidiscrete Modified Korteweg-de Vries Equation

Advances in Mathematical Physics, 2019
Multiple-pole soliton solutions to a semidiscrete modified Korteweg-de Vries equation are derived by virtue of the Riemann-Hilbert problem with higher-order zeros.
Zhixing Xiao, Kang Li, Junyi Zhu
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