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math.AP2022★ 1 cited
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…
nlin.SI2022★ 2 cited
On the long-time asymptotics of the modified Camassa-Holm equation with step-like initial data
Yiling Yang, Gaozhan Li, Engui Fan
We study the long time asymptotic behavior for the Cauchy problem of the modified Camassa-Holm (mCH) equation with step-like initial data \begin{align} &m_{t}+\left(m\left(u^{2}-u_…