11 citations · 13 across the 6 of their papers we have counts for
6 papers
A dense focusing Ablowitz-Ladik soliton gas and its asymptotics
Meisen Chen, Engui Fan, Zhaoyu Wang +2
In this paper, we propose a soliton gas solution for the focusing Ablowitz-Ladik system. This solution is defined as the large N limit of the N-soliton solution, and arises from a…
Long-time Asymptotics for the Ablowitz-Ladik system with present of solitons
Meisen Chen, Engui Fan, Zhaoyu Wang
We investigate the soliton resolution and Painlevé asymptotics for the focusing Ablowitz-Ladik system with the initial data in a discrete weighted space. First, we establi…
Long-time asymptotic analysis for defocusing Ablowitz-Ladik system with initial value in lower regularity
Chen Meisen, Fan Engui, He Jingsong
Recently, we have given the bijectivity for defocusing Ablowitz-Ladik systems in the discrete Sobolev space by inverse spectral method. Based on these results, the…
Long time asymptotics for the focusing nonlinear Schrödinger equation in the solitonic region with the presence of high-order discrete spectrum
Zhaoyu Wang, Meisen Chen, Engui Fan
In this paper, we use the steepest descent method to study the initial value problem for focusing nonlinear Schrödinger (fNLS) equation with non-generic weighted S…
Long-time asymptotic behavior of the nonlocal nonlinear Schrödinger equation with initial potential in weighted sobolev space
Meisen Chen, Engui Fan
In this paper, we are going to investigate Cauchy problem for nonlocal nonlinear Schrödinger equation with the initial potential in weighted sobolev space $H^{1,1}(\mathbb…
Long-time asymptotic behavior for the discrete defocusing mKdV equation
Meisen Chen, En-Gui Fan
In this article, we apply Deift-Zhou nonlinear steepest descent method to analyze the long-time asymptotic behavior of the solution for the discrete defocusing mKdV equation. This…