Results 71 to 80 of about 44,310 (151)

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

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

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
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

Asymptotics via Steepest Descent for an Operator Riemann-Hilbert Problem

, 1999
In this paper, we take the first step towards an extension of the nonlinear steepest descent method of Deift, Its and Zhou to the case of operator Riemann-Hilbert problems.
Kamvissis, Spyridon
core   +1 more source

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

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

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  

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