Results 91 to 100 of about 16,811 (181)

Riemann-Hilbert problems for multiple orthogonal polynomials

, 2001
In the early nineties, Fokas, Its and Kitaev observed that there is a natural Riemann-Hilbert problem (for 2x2 matrix functions) associated which a system of orthogonal polynomials. This Riemann-Hilbert problem was later used by Deift et al.
Kuijlaars, Arno, Geronimo, Jeffrey S., Van Assche, Walter   +2 more
core  

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
doaj   +1 more source

Riemann-Hilbert analysis for a Nikishin system

, 2018
In this paper we give the asymptotic behavior of type I multiple orthogonal polynomials for a Nikishin system of order two with two disjoint intervals.
López Lagomasino, Guillermo, Van Assche, Walter   +1 more
core   +1 more source

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
doaj   +1 more source

The Riemann-Hilbert problem approach to the short pulse equation

, 2022
We consider the adaptation of the inverse scattering transform method, in the form of a Riemann-Hilbert factorization problem, to the study of the Cauchy problem for the shortpulse equation u_xt = u + (1/6)(u^3)_ xx. It is shown that the solution of this
Zielinski, Lech, Tiurdio, A, Shepelsky, D   +2 more
core  

Dynamical Behavior Analysis of Generalized Chen–Lee–Liu Equation via the Riemann–Hilbert Approach

Fractal and Fractional
In this paper, we investigate the dynamics of the generalized Chen–Lee–Liu (gCLL) equation utilizing the Riemann–Hilbert method to derive its N-soliton solution.
Wenxia Chen, Chaosheng Zhang, Lixin Tian
doaj   +1 more source

Well-posedness of a Riemann–Hilbert problem on d-regular quasidisks

, 2017
We prove the well-posedness of a Riemann-Hilbert problem on d-regular qua-sidisks, with boundary data in a class of Besov ...
Eric Schippers, Staubach, Wolfgang, Schippers, Eric, Wolfgang Staubach   +3 more
core   +2 more sources

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
doaj  

Exact solutions for a class of matrix Riemann-Hilbert problems

, 2011
Consider the matrix Riemann-Hilbert problem. In contrast to scalar Riemann-Hilbert problems, a general matrix Riemann-Hilbert problem cannot be solved in term of Sokhotskyi-Plemelj integrals.
Kucerovsky, ., Najafabadi, Amir T. Payandeh   +1 more
core  

Faithfulness of actions on Riemann-Roch spaces

, 2015
Given a faithful action of a finite group G on an algebraic curve X of genus g > 1, we give explicit criteria for the induced action of G on the Riemann-Roch space H^0(X,O_X(D)) to be faithful, where D is a G-invariant divisor on X of degree at least ...
Koeck, Bernhard, Tait, Joseph
core   +1 more source