Results 71 to 80 of about 5,641,194 (164)

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

Anal Math Phys, 2022
Piorkowski M, Teschl G.
europepmc   +1 more source

Genus two KdV soliton gases and their long-time asymptotics

Forum of Mathematics, Sigma
This paper employs the Riemann-Hilbert problem and nonlinear steepest descent method of Deift-Zhou to provide a comprehensive analysis of the asymptotic behavior of the genus two Korteweg-de Vries soliton gases.
Deng-Shan Wang, Dinghao Zhu, Xiaodong Zhu   +2 more
doaj   +1 more source

The Riemann Hilbert problem for generalized Q-holomorphic functions

, 2010
In this work, the classical Riemann Hilbert boundary value problem is extended to generalized Q-holomorphic ...

core   +1 more source

Computing Robin Problem on Unbounded Simply Connected Domain via an Integral Equation with the Generalized Neumann Kernel

Kurdistan Journal of Applied Research, 2017
A Robin problem is a mixed problem with a linear combination of Dirichlet and Neumann D-N conditions. The aim of this paper are presents a new boundary integral equation BIE method for the solution of unbounded Robin boundary value problem BVP in the ...
Shwan H. H. Al-Shatri, Karzan Wakil, Munira Ismail   +2 more
doaj   +1 more source

The Tacnode Riemann–Hilbert Problem

, 2014
The tacnode Riemann–Hilbert problem is a 4x4 matrix-valued RH problem that appears in the description of the local behavior of two touching groups of nonintersecting Brownian motions.
Kuijlaars, Arno
core   +1 more source

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  

Large-x Analysis of an Operator-Valued Riemann–Hilbert Problem

, 2016
International audienceThe purpose of this paper is to push forward the theory of operator-valued Riemann-Hilbert problems and demonstrate their effectiveness in respect to the implementation of a non-linear steepest descent method a la Deift-Zhou.
Its, A. R., Kozlowski, Karol, K., Its, Alexander R., Kozlowski, K. K.   +3 more
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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
doaj  

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
doaj   +1 more source

Riemann-Hilbert problems for multiple orthogonal polynomials [PDF]

, 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
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