Degenerate Riemann–Hilbert–Birkhoff problems, semisimplicity, and convergence of WDVV-potentials [PDF]
Giordano Cotti
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Communication System Using Periodic Nonlinear Fourier Transform Based on Riemann-Hilbert Problem
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
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The Riemann-Hilbert problem and the generalized Neumann kernel on unbounded multiply connected regions [PDF]
Mohamed M. S. Nasser
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On the Riemann-Hilbert Problems
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.
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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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Dynamical Behavior Analysis of Generalized Chen–Lee–Liu Equation via the Riemann–Hilbert Approach
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
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An approach for constructing coefficients of degenerate elliptic complex equations
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
A COMPOUND PROBLEM OF HILBERT-RIEMANN TYPE FOR AN INFINITE SYSTEM OF ANALYTIC FUNCTIONS [PDF]
Aleksander Had, Roman Stysz
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Matrix Riemann-Hilbert problems related to branched coverings of $\CP1$ [PDF]
D. Korotkin
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Nonlinear evolution equations associated with a Riemann–Hilbert scattering problem [PDF]
A. Degasperis +2 more
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