Results 11 to 20 of about 32,369 (161)
Riemann-Hilbert problems [PDF]
, 2019 These lectures introduce the method of nonlinear steepest descent for Riemann-Hilbert problems. This method finds use in studying asymptotics associated to a variety of special functions such as the Painlev equations and orthogonal polynomials, in solving the inverse scattering problem for certain integrable systems, and in proving universality for ...
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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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A Riemann-Hilbert Approach to the Multicomponent Kaup-Newell Equation
Advances in Mathematical Physics, 2020 A Riemann-Hilbert approach is developed to the multicomponent Kaup-Newell equation. The formula is presented of N-soliton solutions through an identity jump matrix related to the inverse scattering problems with reflectionless potential.
Jian-bing Zhang, Ze-xuan Zhang
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Riemann-Hilbert problem, integrability and reductions [PDF]
Journal of Geometric Mechanics, 2019 The present paper is dedicated to integrable models with Mikhailov reduction groups $G_R \simeq \mathbb{D}_h.$ Their Lax representation allows us to prove, that their solution is equivalent to solving Riemann-Hilbert problems, whose contours depend on the realization of the $G_R$-action on the spectral parameter. Two new examples of Nonlinear Evolution
Gerdjikov, Vladimir +2 more
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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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On the Nonlocal Problems in Time for Time-Fractional Subdiffusion Equations
Fractal and Fractional, 2022 The nonlocal boundary value problem, dtρu(t)+Au(t)=f(t ...
Ravshan Ashurov, Yusuf Fayziev
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The Tacnode Riemann–Hilbert Problem [PDF]
Constructive Approximation, 2013 29 pages, 5 ...
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Mathematics, 2022 In this paper, the Riemann–Hilbert problem, with a jump supported on an appropriate curve on the complex plane with a finite endpoint at the origin, is used for the study of the corresponding matrix biorthogonal polynomials associated with Laguerre type ...
Amílcar Branquinho +3 more
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On the Construction of Mathematical Models of the Membrane Theory of Convex Shells
Advanced Engineering Research, 2023 Introduction. The paper considers the issues of constructing mathematical models of the momentless equilibrium stress state of elastic convex shells using methods of the complex analysis.
E. V. Tyurikov
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Random matrices with equispaced external source [PDF]
, 2013 We study Hermitian random matrix models with an external source matrix which has equispaced eigenvalues, and with an external field such that the limiting mean density of eigenvalues is supported on a single interval as the dimension tends to infinity ...
Claeys, Tom, Wang, Dong
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