Results 1 to 10 of about 72,141 (252)

A scalar Riemann-Hilbert problem on the torus: applications to the KdV equation. [PDF]

Anal Math Phys, 2022
Piorkowski M, Teschl G.
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On the Riemann-Hilbert Problems

, 1998
We discuss some topological aspects of the Riemann-Hilbert transmission problem and Riemann-Hilbert monodromy problem on Riemann surfaces. In particular, we describe the construction of a holomorphic vector bundle starting from the given representation of the fundamental group and investigate the local behaviour of connexions on this bundle.
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Riemann-Hilbert problem for the Moisil-Teodorescu system in multiple connected domains

Electronic Journal of Differential Equations, 2016
In this article we obtain a new integral representation of the general solution of the Moisil-Teodorescu system in a multiply connected domain. Also we give applications of this representation to Riemann-Hilbert problem.
Viktor A. Polunin, Alexandre P. Soldatov
doaj  

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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General Riemann-Hilbert problem with discontinuous coefficients for Moisil-Theodoresco system with junior members

Lietuvos Matematikos Rinkinys, 1997
For Moisil–Theodoresco system with junior members a problem of new type, called Riemann­–Hilbert problem with discontinuous coefficients, is considered. Under certain conditions this prob­lem is proved to have Fredholm property for the mentioned system.
Rima Matiukaitė
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On a new representation for the solution of the Riemann–Hilbert problem

Mathematical Notes, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bezrodnykh S.I., Vlasov V.I.
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Riemann Hilbert problem for bi-orthogonal polynomials [PDF]

Journal of Physics A: Mathematical and General, 2003
Two sequences of polynomials which are orthogonal to each other with respect to a two-dimensional measure are called bi-orthogonal polynomials \[ \int_R \int_R P_n(\lambda)Q_m(\xi) \,d\mu(\lambda,\xi) =\delta_{mn}. \] If the measure is given by \(d\mu(\lambda,\xi) =\exp(-V(\lambda)-W(\xi)+\lambda\xi)\,d\lambda \,d\xi\), then \(V(\lambda),W(\xi)\) are ...
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Solvability of some classes of singular integral equations of convolution type via Riemann–Hilbert problem

Journal of Inequalities and Applications, 2019
In this paper, we study methods of solution for some kinds of convolution type singular integral equations with Cauchy kernel. By means of the classical boundary value problems for analytic functions and of the theory of complex analysis, we deal with ...
Pingrun Li
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Optical solitons and their propagations in a time-varying coefficient modified nonlinear Schrödinger equation with non-zero boundary conditions via Riemann–Hilbert method

Results in Physics
In this article, a time-varying coefficient modified nonlinear Schrödinger equation (tvcmNLSE) with non-zero boundary conditions (NZBCs) at infinity, phase term of which contains time-varying coefficients, is proposed to describe the nonlinear ...
Xiuyan Wei, Yinan Chen, Sheng Zhang
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An approach for constructing coefficients of degenerate elliptic complex equations

Electronic Journal of Differential Equations, 2013
This article deals with the inverse problem for degenerate elliptic systems of first order equations with Riemann-Hilbert type map in simply connected domains.
Guo Chun Wen
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