10 citations · 12 across the 6 of their papers we have counts for
5 papers · 1 filter
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 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…