Results 11 to 20 of about 94,442 (230)
On the Riemann-Hilbert problem in multiply connected domains
Open Mathematics, 2016 We proved the existence of multivalent solutions with the infinite number of branches for the Riemann-Hilbert problem in the general settings of finitely connected domains bounded by mutually disjoint Jordan curves, measurable coefficients and measurable
Ryazanov Vladimir
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On the Riemann-Hilbert Problem for a q-Difference Painlevé Equation [PDF]
Communications in Mathematical Physics, 2021 Nalini Joshi, Pieter Roffelsen
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Riemann–Hilbert boundary value problem for multidimensional elliptic systems of equations
Lietuvos Matematikos Rinkinys, 2023 Multidimensional analogues of Cauchy–Riemann quations and of Riemann–Hilbert boundary value problem are studied. Their relation to the scalar boundary value problem is demonstrated.
Eugenijus Paliokas
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On a class of q-orthogonal polynomials and the q-Riemann–Hilbert problem [PDF]
Proceedings of the Royal Society A, 2021 We give an explicit solution of a q-Riemann–Hilbert problem that arises in the theory of orthogonal polynomials, prove that it is unique and deduce several properties.
N. Joshi, Tomas Lasic Latimer
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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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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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Hilbert boundary value problem for generalized analytic functions with a singular line [PDF]
E3S Web of Conferences, 2021 In this paper, we study an inhomogeneous Hilbert boundary value problem with a finite index and a boundary condition on a circle for a generalized Cauchy-Riemann equation with a singular coefficient.
Shabalin Pavel, Faizov Rafael
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Mathematical methods in the applied sciences, 2021 In this paper, we investigate vector Lakshmanan–Porsezian–Daniel (VLPD) model which can be used to describe the ultrashort pulses in the birefringent optical fiber. Based on the unified transformation method, the Riemann–Hilbert problem is introduced and
Beibei Hu, Ji Lin, Ling Zhang
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Long-time asymptotics for the generalized Sasa-Satsuma equation
AIMS Mathematics, 2020 In this paper, we study the long-time asymptotic behavior of the solution of the Cauchy problem for the generalized Sasa-Satsuma equation. Starting with the 3 × 3 Lax pair related to the generalized Sasa-Satsuma equation, we construct a Rieman-Hilbert ...
Kedong Wang +3 more
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On the Riemann–Hilbert problem of a generalized derivative nonlinear Schrödinger equation [PDF]
Communications in Theoretical Physics, 2020 In this work, we present a unified transformation method directly by using the inverse scattering method for a generalized derivative nonlinear Schrödinger (DNLS) equation.
Beibei Hu, Ling Zhang, T. Xia
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