E. Fan

activity

20122026

most citedThe Sasa-Satsuma equation with non-vanishing boundary conditions

10 citations · 48 across the 31 of their papers we have counts for

collaborators

Showing 2024 · math.APShow all

2 papers · 2 filters

math.AP2024

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…

math.AP2024

$L^{2}$ -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 $p \times q$ matrix nonlinear Schrödinger (NLS) equations with initial data allowing arbitrary-order poles and…

The Cauchy problem for the Degasperis-Procesi Equation: Painlevé Asymptotics in Transition Zones

L2-Sobolev space bijectivity and existence of global solutions for the matrix nonlinear Schrödinger equations

$L^{2}$ -Sobolev space bijectivity and existence of global solutions for the matrix nonlinear Schrödinger equations