15 citations · 34 across the 8 of their papers we have counts for
Showing 2022Show all
2 papers · 1 filter
math-ph2022
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…
math.AP2022★ 4 cited
Long time asymptotic behavior for the nonlocal mKdV equation in space-time solitonic regions-II
Xuan Zhou, Engui Fan
We study the long time asymptotic behavior for the Cauchy problem of an integrable real nonlocal mKdV equation with nonzero initial data in the solitonic regions \begin{align*} &q_…