10 citations · 48 across the 31 of their papers we have counts for
5 papers · 2 filters
Long time and Painleve-type asymptotics for the Sasa-Satsuma equation in solitonic space time regions
Weikang Xun, Engui Fan
The Sasa-Satsuma equation with Lax representation is one of the integrable extensions of the nonlinear Schrödinger equation. In this paper, we consider the Cauchy pro…
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…
On the asymptotic stability of -soliton solutions of the three-wave resonant interaction equation
Yiling Yang, Engui Fan
The three-wave resonant interaction (three-wave) equation not only possesses matrix spectral problem, but also being absence of stationary phase points, which give rise…
On asymptotic approximation of the modified Camassa-Holm equation in different space-time solitonic regions
Yiling Yang, Engui Fan
In this paper, we study the long time asymptotic behavior for the initial value problem of the modified Camassa-Holm (mCH) equation in the solitonic region \begin{align} &m_{t}+\le…