Results 31 to 40 of about 94,442 (230)
Mathematics, 2021 A method of the Riemann–Hilbert problem is applied for Zhang’s conjecture 1 proposed in Philo. Mag. 87 (2007) 5309 for a ferromagnetic three-dimensional (3D) Ising model in the zero external field and the solution to the Zhang’s conjecture 1 is ...
Osamu Suzuki, Zhidong Zhang
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The Baker-Akhiezer function and factorization of the Chebotarev-Khrapkov matrix [PDF]
, 2014 A new technique is proposed for the solution of the Riemann-Hilbert problem with the Chebotarev-Khrapkov matrix coefficient $G(t)=\alpha_1(t)I+\alpha_2(t)Q(t)$, $\alpha_1(t), \alpha_2(t)\in H(L)$, $Q(t)$ is a $2\times 2$ zero-trace polynomial matrix, and
Antipov, Yuri A.
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Partial Differential Equations in Applied Mathematics, 2022 In this paper, the main work is to study the N-soliton solutions for the M-component nonlinear Schrödinger equations, the matrix Riemann–Hilbert problem is constructed for this integrable hierarchies by analyzing the block matrix spectral problem of the ...
Jian Li, Tiecheng Xia
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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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Integrable models for shallow water with energy dependent spectral problems [PDF]
, 2012 We study the inverse problem for the so-called operators with energy depending potentials. In particular, we study spectral operators with quadratic dependance on the spectral parameter.
Ivanov, Rossen I., Lyons, Tony
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Journal of Lightwave Technology, 2020 In this article, for the first time, a full-spectrum periodic nonlinear Fourier transform (NFT)-based communication system with the inverse transformation at the transmitter performed by using the solution of Riemann-Hilbert problem (RHP), is proposed ...
M. Kamalian-Kopae +4 more
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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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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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Tau functions as Widom constants
, 2017 We define a tau function for a generic Riemann-Hilbert problem posed on a union of non-intersecting smooth closed curves with jump matrices analytic in their neighborhood.
Chang-Duk Jun +7 more
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