Results 111 to 120 of about 94,442 (230)

Communication System Using Periodic Nonlinear Fourier Transform Based on Riemann-Hilbert Problem

open access: yesEuropean Conference on Optical Communication, 2018
In a communication system based on periodic nonlinear Fourier transform, we apply the associated Riemann-Hilbert problem to modulate the nonlinear spectrum of the signal and study the performance and achievable mutual information.
M. Kamalian   +4 more
semanticscholar   +1 more source

On the Riemann-Hilbert Problems

open access: yes, 1998
We discuss some topological aspects of the Riemann-Hilbert transmission problem and Riemann-Hilbert monodromy problem on Riemann surfaces. In particular, we describe the construction of a holomorphic vector bundle starting from the given representation of the fundamental group and investigate the local behaviour of connexions on this bundle.
openaire   +2 more sources

Optical solitons and their propagations in a time-varying coefficient modified nonlinear Schrödinger equation with non-zero boundary conditions via Riemann–Hilbert method

open access: yesResults 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

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

open access: yesFractal 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

An approach for constructing coefficients of degenerate elliptic complex equations

open access: yesElectronic 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  

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