Results 201 to 210 of about 72,141 (252)

The Riemann–Hilbert problem for certain poly domains and its connection to the Riemann problem

Journal of Mathematical Analysis and Applications, 2008
The Riemann–Hilbert problem is studied for holomorphic functions in higher dimensional poly domains and the explicit constructive solution is given. The connection between the Riemann problem and the Riemann–Hilbert problem for poly domains is presented ...
Alip Mohammed
exaly   +2 more sources

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The Riemann-Hilbert problem

Russian Mathematical Surveys, 1990
A. Bolibrukh
openaire   +2 more sources

Riemann–Hilbert problem and interactions of solitons in the n$n$ ‐component nonlinear Schrödinger equations

Studies in applied mathematics (Cambridge), 2021
In this work, we systematically investigate the general n$n$ ‐component nonlinear Schrödinger equations by using the Riemann–Hilbert method. Starting from the Lax pair associated with an (n+1)×(n+1)$(n + 1)\times (n + 1)$ matrix spectral problem, we ...
Yuan Li, Shou‐Fu Tian, Jin-Jie Yang
semanticscholar   +1 more source

General N-soliton solutions to the two types of nonlocal Gerdjikov-Ivanov equations via Riemann-Hilbert problem

Physica Scripta, 2023
This paper mainly makes use of the Riemann-Hilbert approach to solve the two types of nonlocal Gerdjikov-Ivanov equations derived by different nonlocal group reductions.
Yingmin Yang, T. Xia, Tongshuai Liu
semanticscholar   +1 more source

On the Solvability of Riemann–Hilbert Problem in the Weighted Smirnov Classes

Analysis Mathematica, 2018
S R Sadigova
exaly   +2 more sources

Renormalization in Quantum Field Theory and the Riemann–Hilbert Problem I: The Hopf Algebra Structure of Graphs and the Main Theorem

, 1999
:This paper gives a complete selfcontained proof of our result announced in [6] showing that renormalization in quantum field theory is a special instance of a general mathematical procedure of extraction of finite values based on the Riemann–Hilbert ...
A. Connes, D. Kreimer
semanticscholar   +1 more source

H-polarized plane-wave scattering by a PEC strip grating on top of a dielectric substrate: analytical regularization based on the Riemann-Hilbert Problem solution

, 2020
We consider the H-polarized plane wave scattering from an infinite flat grating of perfectly electrically conducting strips, placed on the interface of a dielectric slab.
Fedir O. Yevtushenko, S. Dukhopelnykov, A. Nosich   +2 more
semanticscholar   +1 more source

The N‐coupled higher‐order nonlinear Schrödinger equation: Riemann‐Hilbert problem and multi‐soliton solutions

Mathematical methods in the applied sciences, 2019
In this work, the Riemann‐Hilbert (RH) problem of the N‐coupled high‐order nonlinear Schrödinger (N‐CHNLS) equations is studied carefully, which controls the propagation of N fields with all high‐order effects such as high‐order dispersion, self ...
Jin-Jie Yang, Shou‐Fu Tian, Wei-Qi Peng, Tian‐Tian Zhang   +3 more
semanticscholar   +1 more source

Renormalization in Quantum Field Theory and the Riemann--Hilbert Problem II: The β-Function, Diffeomorphisms and the Renormalization Group

, 1999
: We showed in Part I that the Hopf algebra ℋ of Feynman graphs in a given QFT is the algebra of coordinates on a complex infinite dimensional Lie group G and that the renormalized theory is obtained from the unrenormalized one by evaluating at ɛ= 0 the ...
A. Connes, D. Kreimer
semanticscholar   +1 more source

The Lauricella hypergeometric function , the Riemann–Hilbert problem, and some applications

Russian Mathematical Surveys, 2018
The problem of analytic continuation is considered for the Lauricella function , a generalized hypergeometric functions of complex variables. For an arbitrary a complete set of formulae is given for its analytic continuation outside the boundary of the ...
S. I. Bezrodnykh
semanticscholar   +1 more source