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Akademický článek

Asymptotic gap probability distributions of the Gaussian unitary ensembles and Jacobi unitary ensembles

Publikováno v: Nuclear Physics B, Vol 926, Iss C, Pp 639-670 (2018)

In this paper, we address a class of problems in unitary ensembles. Specifically, we study the probability that a gap symmetric about 0, i.e. (−a,a) is found in the Gaussian unitary ensembles (GUE) and the Jacobi unitary ensembles (JUE) (where in t

Externí odkaz: https://doaj.org/article/2258c18d1543441095df75e0ff0bb1b5

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Long-time asymptotic analysis for defocusing Ablowitz-Ladik system with initial value in lower regularity

Autor: Meisen, Chen, Engui, Fan, Jingsong, He

Recently, we have given the $l^2$ bijectivity for defocusing Ablowitz-Ladik systems in the discrete Sobolev space $l^{2,1}$ by inverse spectral method. Based on these results, the goal of this article is to investigate the long-time asymptotic proper

Externí odkaz: http://arxiv.org/abs/2207.07387

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Inverse scattering transform and multiple high-order pole solutions for the Gerdjikov-Ivanov equation under the zero/nonzero background

Autor: Zechuan, Zhang, Engui, Fan

In this article, the inverse scattering transform is considered for the Gerdjikov-Ivanov equation with zero and non-zero boundary conditions by a matrix Riemann-Hilbert (RH) method. The formula of the soliton solutions are established by Laurent expa

Externí odkaz: http://arxiv.org/abs/2012.13654

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An alternative approach to the quasi-Periodic solutions of the Hunter-Saxton hierarchy

Autor: Yu, Hou, Engui, Fan, Peng, Zhao

This paper is dedicated to provide the global solutions of algebro-geometric type for all the equations of a new commuting hierarchy containing the Hunter-Saxton (HS) equation. Our main tools include the zero curvature method to derive the HS hierarc

Externí odkaz: http://arxiv.org/abs/1301.0690

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