78 citations · 365 across the 100 of their papers we have counts for
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Soliton resolution and asymptotic stability of -solitons to the Degasperis-Procesi equation on the line
Xuan Zhou, Zhaoyu Wang, Engui Fan
The Degasperis-Procesi (DP) equation \begin{align} &u_t-u_{txx}+3κu_x+4uu_x=3u_x u_{xx}+uu_{xxx}, \nonumber \end{align} serving as a model delineating the propagation of shallow wa…
The defocusing NLS equation with nonzero background: Painlevé asymptotics in two transition regions
Zhaoyu Wang, Engui Fan
In this paper, we address the Painlevé aymptotics in the transition region to the Cauchy problem of the defocusing Schrding…
Large-time asymptotics to the focusing nonlocal modified Kortweg-de Vries equation with step-like boundary conditions
Taiyang Xu, Engui Fan
We investigate the large-time asymptotics of solution for the Cauchy problem of the nonlocal focusing modified Kortweg-de Vries (MKdV) equation with step-like initial data, i.e., $…
Painleve-type asymptotics for the defocusing Hirota equation in transition region
Weikang Xun, Luman Ju, Engui Fan
We consider the Cauchy problem for the classical Hirota equation on the line with decaying initial data. Based on the spectral analysis of the Lax pair of the Hirota equation, we f…