Results 11 to 20 of about 552 (182)

Lax Equations, Singularities and Riemann–Hilbert Problems [PDF]

Mathematical Physics, Analysis and Geometry, 2012
The existence of singularities of the solution for a class of Lax equations is investigated using a development of the fac- torization method first proposed by Semenov-Tian-Shansky and Reymann [11], [9]. It is shown that the existence of a singularity at a point t = ti is directly related to the property that the ker- nel of a certain Toeplitz operator
dos Santos, António F., dos Santos, Pedro F.   +1 more
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Multiple-Pole Solutions to a Semidiscrete Modified Korteweg-de Vries Equation

Advances in Mathematical Physics, 2019
Multiple-pole soliton solutions to a semidiscrete modified Korteweg-de Vries equation are derived by virtue of the Riemann-Hilbert problem with higher-order zeros.
Zhixing Xiao, Kang Li, Junyi Zhu
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A Method of the Riemann–Hilbert Problem for Zhang’s Conjecture 2 in a Ferromagnetic 3D Ising Model: Topological Phases

Mathematics, 2021
A method of the Riemann–Hilbert problem is employed for Zhang’s conjecture 2 proposed in Philo. Mag. 87 (2007) 5309 for a ferromagnetic three-dimensional (3D) Ising model in a zero external magnetic field.
Zhidong Zhang, Osamu Suzuki
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A Method of Riemann–Hilbert Problem for Zhang’s Conjecture 1 in a Ferromagnetic 3D Ising Model: Trivialization of Topological Structure

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 Tacnode Riemann–Hilbert Problem [PDF]

Constructive Approximation, 2013
29 pages, 5 ...
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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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The N-soliton solutions to the M-components nonlinear Schrödinger equations by the Riemann–Hilbert approach

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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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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The Prolongation Structure of the Modified Nonlinear Schrödinger Equation and Its Initial-Boundary Value Problem on the Half Line via the Riemann-Hilbert Approach

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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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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