Results 21 to 30 of about 94,442 (230)
Noncommutative Monopoles and Riemann-Hilbert Problems [PDF]
Journal of High Energy Physics, 2004 The Bogomolny equations for Yang-Mills-Higgs monopoles follow from a system of linear equations which may be solved through a parametric Riemann-Hilbert problem. We extend this approach to noncommutative R^3 and use it to (re)construct noncommutative Dirac, Wu-Yang, and BPS monopole configurations in a unified manner.
Lechtenfeld, Olaf, Popov, Alexander D.
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Advances in Difference Equations, 2019 This paper aims to present an application of the Riemann–Hilbert approach to treat higher-order nonlinear differential equation that is an eighth-order nonlinear Schrödinger equation arising in an optical fiber. Starting from the spectral analysis of the
Zhou-Zheng Kang +2 more
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Stable Flags and the Riemann-Hilbert Problem [PDF]
, 2010 We tackle the Riemann-Hilbert problem on the Riemann sphere as stalk-wise logarithmic modifications of the classical R\"ohrl-Deligne vector bundle. We show that the solutions of the Riemann-Hilbert problem are in bijection with some families of local ...
André +11 more
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Strong asymptotics for Cauchy biorthogonal polynomials with application to the Cauchy two--matrix model [PDF]
, 2012 We apply the nonlinear steepest descent method to a class of 3x3 Riemann-Hilbert problems introduced in connection with the Cauchy two-matrix random model.
Atiyah M. F. +8 more
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B\"acklund Transformations of the Sixth Painlev\'e Equation in Terms of Riemann-Hilbert Correspondence [PDF]
, 2003 It is well known that the sixth Painlev\'e equation $\PVI$ admits a group of B\"acklund transformations which is isomorphic to the affine Weyl group of type $\mathrm{D}_4^{(1)}$.
Inaba, Michi-aki +2 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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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. +1 more
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A coupled complex mKdV equation and its N-soliton solutions via the Riemann–Hilbert approach
Boundary Value Problems, 2023 This paper concerns the initial value problem of a coupled complex mKdV (CCMKDV) equations u t + u x x x + 6 ( | u | 2 + | v | 2 ) u x + 6 u ( | v | 2 ) x = 0 , v t + v x x x + 6 ( | u | 2 + | v | 2 ) v x + 6 v ( | u | 2 ) x = 0 , $$ \begin{aligned} &u_ ...
Siqi Xu
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Riemann–Hilbert problem for the modified Landau–Lifshitz equation with nonzero boundary conditions [PDF]
Theoretical and mathematical physics, 2019 We study a matrix Riemann–Hilbert (RH) problem for the modified Landau–Lifshitz (mLL) equation with nonzero boundary conditions at infinity. In contrast to the case of zero boundary conditions, multivalued functions arise during direct scattering.
Jin-Jie Yang, Shou‐Fu Tian
semanticscholar +1 more source
The Riemann-Hilbert problem associated with the quantum Nonlinear Schrodinger equation [PDF]
, 1997 We consider the dynamical correlation functions of the quantum Nonlinear Schrodinger equation. In a previous paper we found that the dynamical correlation functions can be described by the vacuum expectation value of an operator-valued Fredholm ...
Faddeev L D +8 more
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