E. Fan

activity

20102026

most citedLong-time asymptotic for the derivative nonlinear Schrödinger equation with decaying initial value

78 citations · 365 across the 100 of their papers we have counts for

collaborators

Showing 2020 · math.APShow all

2 papers · 2 filters

math.AP2020★ 10 cited

Long-time asymptotic behavior of a mixed schrödinger equation with weighted Sobolev initial data

Qiaoyuan Cheng, Yiling Yang, Engui Fan

We apply $\partial ˉ$ steepest descent method to obtain sharp asymptotics for a mixed schrödinger equation $q_{t} + i q_{xx} - ia (∣ q ∣^{2} q)_{x} - 2 b^{2} ∣ q ∣^{2} q = 0,$ $$q…

math.AP2020

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…