78 citations · 365 across the 100 of their papers we have counts for
4 papers · 2 filters
The Cauchy problem for the Degasperis-Procesi Equation: Painlevé Asymptotics in Transition Zones
Zhaoyu Wang, Xuan Zhou, 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 an asymptotic approximation for the unidirectiona…
-Sobolev space bijectivity and existence of global solutions for the matrix nonlinear Schrödinger equations
Yuan Li, Xinhan Liu, Engui Fan
We consider the Cauchy problem to the general defocusing and focusing matrix nonlinear Schrödinger (NLS) equations with initial data allowing arbitrary-order poles and…
Long-time Asymptotics for the Ablowitz-Ladik system with present of solitons
Meisen Chen, Engui Fan, Zhaoyu Wang
We investigate the soliton resolution and Painlevé asymptotics for the focusing Ablowitz-Ladik system with the initial data in a discrete weighted space. First, we establi…
Orbital Stability of Soliton for the Derivative Nonlinear Schrödinger Equation in the Space
Yiling Yang, Engui Fan, Yue Liu
In this paper, we establish the orbital stability of the 1-soliton solution for the derivative nonlinear Schrödinger equation under perturbations in . We demonstra…