Results 61 to 70 of about 544 (135)

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

Monodromy representations of Jordan-Pochhammer systems

Современная математика: Фундаментальные направления
In this paper, we consider Burau representations of braid groups and Gassner representations of pure braid groups, and their realization as monodromy representations of Jordan-Pochhammer systems with suitable parameters.
V. P. Leksin
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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
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

Initial Boundary Value Problem for the Coupled Kundu Equations on the Half-Line

Axioms
In this article, the coupled Kundu equations are analyzed using the Fokas unified method on the half-line. We resolve a Riemann–Hilbert (RH) problem in order to illustrate the representation of the potential function in the coupled Kundu equations.
Jiawei Hu, Ning Zhang
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Interior Microstates and Black Hole Entropy. [PDF]

Entropy (Basel)
Sasieta M.
europepmc   +1 more source

Twist Fields in Many-Body Physics. [PDF]

Entropy (Basel)
Doyon B.
europepmc   +1 more source