Results 21 to 30 of about 26,140 (200)
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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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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Null octagon from Deift-Zhou steepest descent
Nuclear Physics B, 2022 A special class of four-point correlation functions in the maximally supersymmetric Yang-Mills theory is given by the square of the Fredholm determinant of a generalized Bessel kernel. In this note, we re-express its logarithmic derivatives in terms of a
A.V. Belitsky
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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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General soliton matrices in the Riemann–Hilbert problem for integrable nonlinear equations [PDF]
Journal of Mathematical Physics, 2003 We derive the soliton matrices corresponding to an arbitrary number of higher-order normal zeros for the matrix Riemann–Hilbert problem of arbitrary matrix dimension, thus giving the complete solution to the problem of higher-order solitons. Our soliton matrices explicitly give all higher-order multisoliton solutions to the nonlinear partial ...
Shchesnovich, V. S., Yang, J. K.
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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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IET Microwaves, Antennas & Propagation, 2021 We consider two‐dimensional (2‐D) thin dielectric parabolic reflector, covered with graphene from both sides, illuminated symmetrically by an E‐polarized electromagnetic plane wave.
Taner Oğuzer, Ayhan Altıntaş
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On the probability of positive-definiteness in the gGUE via semi-classical Laguerre polynomials [PDF]
, 2017 In this paper, we compute the probability that an N x N matrix from the generalized Gaussian Unitary Ensemble (gGUE) is positive definite, extending a previous result of Dean and Majumdar (2008). For this purpose, we work out the large degree asymptotics
Aazami +29 more
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Tau functions and the limit of block Toeplitz determinants [PDF]
, 2014 A classical way to introduce tau functions for integrable hierarchies of solitonic equations is by means of the Sato-Segal-Wilson infinite-dimensional Grassmannian.
Cafasso, Mattia, Wu, Chao-Zhong
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