Results 181 to 190 of about 94,442 (230)

Riemann–Hilbert Problem and Matrix Biorthogonal Polynomials

2021
Recently the Riemann–Hilbert problem with jumps supported on appropriate curves in the complex plane has been presented for matrix biorthogonal polynomials, in particular non–Abelian Hermite matrix biorthogonal polynomials in the real line, understood as those whose matrix of weights is a solution of a Sylvester type Pearson equation with coefficients ...
Branquinho, Amílcar, Foulquié-Moreno, Ana, Mañas-Baena, Manuel   +2 more
openaire   +2 more sources

Riemann‐Hilbert problem and matrix discrete Painlevé II systems

Studies in applied mathematics (Cambridge), 2019
Matrix Szegő biorthogonal polynomials for quasi‐definite matrices of Hölder continuous weights are studied. A Riemann‐Hilbert problem is uniquely solved in terms of the matrix Szegő polynomials and its Cauchy transforms.
G. A. Cassatella-Contra, Manuel Mañas
semanticscholar   +1 more source

Asymptotics of oscillatory Riemann–Hilbert problems

Journal of Mathematical Physics, 1996
A classical method of stationary phase for oscillatory integrals is generalized to oscillatory Riemann–Hilbert problems of the kind arising in the theory of integrable nonlinear equations. The proposed approach is developed for the phase with N first-order stationary points, and the final formulas can immediately be applied to the problem of long-time ...
openaire   +2 more sources

On Riemann-Hilbert Problems in Circle Packing

Computational Methods and Function Theory, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wegert, Elias, Bauer, David
openaire   +2 more sources

Rogue wave and multi-pole solutions for the focusing Kundu–Eckhaus Equation with nonzero background via Riemann–Hilbert problem method

Nonlinear dynamics, 2021
N. Guo, Jian Xu, Lili Wen, E. Fan
semanticscholar   +1 more source

Multi-component generalized Gerdjikov–Ivanov integrable hierarchy and its Riemann–Hilbert problem

Nonlinear Analysis: Real World Applications, 2022
Tongshuai Liu, T. Xia
semanticscholar   +1 more source

Explicit Riemann‐Hilbert problems in Hardy spaces

Mathematische Nachrichten, 2011
AbstractThis paper is concerned with boundary value problems for holomorphic functions in the unit disc, where the boundary condition is given by an explicit equation for the real and imaginary part of the solution on the unit circle. Relaxing the smoothness assumptions in well‐known results for problems of this type we can still prove the solvability ...
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Riemann–Hilbert problem and N-soliton solutions for the n<

Communications in nonlinear science & numerical simulation, 2023
Xinxin Ma, Junyi Zhu
semanticscholar   +1 more source

Riemann–Hilbert Problem and Multi-Soliton Solutions of the Integrable Spin-1 Gross–Pitaevskii Equations

Zeitschrift für Naturforschung A, 2018
Under investigation in this article is the integrable spin-1 Gross–Pitaevskii (SGP) equations, which can be used to describe light transmission in bimodal nonlinear optical fibres.
Xiu-Bin Wang, B. Han
semanticscholar   +1 more source

On the Riemann-Hilbert problem for the mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation

Journal of Computational and Applied Mathematics, 2021
Beibei Hu, Ling Zhang, Ningyao Zhang
semanticscholar   +1 more source