10 citations · 12 across the 6 of their papers we have counts for
6 papers
Existence of global solutions to the Fokas-Lenells equation with arbitrary spectral singularities
Yuan Li, Qiaoyuan Cheng, Engui Fan
We establish the global existence of solutions to the Fokas-Lenells equation for any initial data in a weighted Sobolev space .This resul…
The Fokas-Lenells equation on the line: Global well-posedness with solitons
Qiaoyuan Cheng, Engui Fan
In this paper, we prove the existence of global solutions in to the Fokas-Lenells (FL) equation on the line when the initial data includes…
A Riemann-Hilbert approach to existence of global solutions to the Fokas-Lenells equation on the line
Qiaoyuan Cheng, Engui Fan
We obtain the the existence of global solutions to the Cauchy problem of the Fokas-Lenells (FL) equation on the line \begin{align} &u_{xt}+αβ^2u-2iαβu_x-αu_{xx}-iαβ^2|u|^2u_x=0,\no…
Long time asymptotic behavior for the derivative Schrödinger equation with nonzero boundary conditions
Yiling Yang, Qiaoyuan Cheng, Engui Fan
In this paper, we apply steepest descent method to study the Cauchy problem for the derivative nonlinear Schrödinger equation with nonzero boundary conditions \…
Long-time asymptotic behavior of a mixed schrödinger equation with weighted Sobolev initial data
Qiaoyuan Cheng, Yiling Yang, Engui Fan
We apply steepest descent method to obtain sharp asymptotics for a mixed schrödinger equation $$q…
Long-time asymptotics for the focusing Fokas-Lenells equation in the solitonic region of space-time
Qiaoyuan Cheng, Engui Fan
We study the long-time asymptotic behavior of the focusing Fokas-Lenells (FL) equation $$ u_{xt}+αβ^2u-2iαβu_x-αu_{xx}-iαβ^2|u|^2u_x=0 \label{cs} $$ with generic initial data in a…