78 citations · 365 across the 100 of their papers we have counts for
6 papers · 1 filter
The unified transform method for the Sasa-Satsuma equation on the interval
Jian Xu, Qiaozhen Zhu, Engui Fan
We present a Riemann-Hilbert problem formalism for the initial-boundary value problem for the Sasa-Satsuma(SS) equation on the finite interval. Assume that the solution existes, we…
The GLM representation of the global relation for the two-component nonlinear Schrödinger equation on the interval
Jian Xu, Engui Fan
In a previous work, we show that the solution of the initial-boundary value problem for the two-component nonlinear Schrödinger equation on the finite interval can be expressed in…
Large n-limit for Random matrices with External Source with 3 eigenvalues
Jian Xu, Engui Fan, Yang Chen
In this paper, we analyze the large n-limit for random matrix with external source with three distinct eigenvalues. And we confine ourselves in the Hermite case and the three disti…
Initial-boundary value problem for integrable nonlinear evolution equations with Lax pairs on the interval
Jian Xu, Engui Fan
We present an approach for analyzing initial-boundary value problems which is formulated on the finite interval (, where is a positive constant) for integrable equ…
The Ostrovsky-Vakhnenko equation on the half-line: a Riemann-Hilbert approach
Jian Xu, Engui Fan
We analyze an initial-boundary value problem for the Ostrovsky-Vakhnenko equation on the half-line. This equation can be viewed as the short wave model for the Degasperis-Procesi (…
Perturbed Hankel determinant, correlation functions and Painlevé equations
Min Chen, Yang Chen, Engui Fan
We continue with the study of the Hankel determinant, generated by a Pollaczek-Jacobi type weigh…