Results 11 to 20 of about 16,811 (181)
Multidimensional analogues of the Riemann–Hilbert boundary value problem
Mathematical Modelling and Analysis, 2007 Multidimensional generalizations of the Cauchy‐Riemann systems and two different types of analogues of the Riemann–Hilbert boundary value problems for these systems are considered.
Eugenijus Paliokas
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Riemann–Hilbert problem and matrix biorthogonal polynomials [PDF]
, 2021 Recently the Riemann-Hilbert problem, with jumps supported on appropriate curves in the complex plane, has been presented for matrix biorthogonal polynomials, in particular non-Abelian Hermite matrix biorthogonal polynomials in the real line ...
Amílcar Branquinho +5 more
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A Riemann–Hilbert problem for uncoupled BPS structures [PDF]
, 2019 We study the Riemann–Hilbert problem attached to an uncoupled BPS structure proposed by Bridgeland in (“Riemann–Hilbert problems from Donaldson–Thomas theory I”).
Barbieri, A., Anna Barbieri
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The nonlinear Schr\"odinger equation with forcing involving products of eigenfunctions [PDF]
Open Communications in Nonlinear Mathematical Physics, 2022 We elaborate on a new methodology, which starting with an integrable evolution equation in one spatial dimension, constructs an integrable forced version of this equation.
A. S. Fokas, A. Latifi
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Quantum periods and TBA equations for N=2 SU(2) Nf = 2 SQCD with flavor symmetry
Physics Letters B, 2021 We apply the exact WKB analysis to the quantum Seiberg-Witten curve for 4-dimensional N=2 SU(2) Nf=2 SQCD with the flavor symmetry. The discontinuity and the asymptotic behavior of the quantum periods define a Riemann-Hilbert problem.
Keita Imaizumi
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Mathematics, 2019 In this paper, the Lax pair of the modified nonlinear Schrödinger equation (mNLS) is derived by means of the prolongation structure theory. Based on the obtained Lax pair, the mNLS equation on the half line is analyzed with the assistance of Fokas ...
Tongshuai Liu, Huanhe Dong
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A Riemann–Hilbert problem for biorthogonal polynomials
, 2005 We characterize the biorthogonal polynomials that appear in the theory of coupled random matrices via a Riemann–Hilbert problem. Our Riemann–Hilbert problem is different from the ones that were proposed recently by Ercolani and McLaughlin, Kapaev, and ...
McLaughlin, K.T.-R., Kuijlaars, A.B.J.
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Riemann-Hilbert problem associated with Angelesco systems [PDF]
, 2009 Angelesco systems of measures with Jacobi-type weights are considered. For such systems, strong asymptotics for the related multiple orthogonal polynomials are found as well as the Szego-type functions.
Branquinho, A. +6 more
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The Riemann–Hilbert problem for certain poly domains and its connection to the Riemann problem
, 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, Mohammed, Alip
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The N-soliton solutions of the n-component generalized Sasa-Satsuma system: Riemann-Hilbert method
Nuclear Physics BUsing the Riemann-Hilbert method, the paper systematically investigates the n-component generalized Sasa-Satsuma system. By utilizing the Tu scheme, we systematically construct the n-component generalized Sasa-Satsuma integrable hierarchy, and obtain the
Zhiguo Ren, Jing Yu, Lin Huang
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