E. Fan

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20242026

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3 papers · 2 filters

math.AP2025

Existence of global solutions to the Fokas-Lenells equation with arbitrary spectral singularities

Yuan Li, Qiaoyuan Cheng, Engui Fan

We establish the global existence of solutions to the Fokas-Lenells equation for any initial data in a weighted Sobolev space $H^{3} (R) \cap H^{2, 1} (R)$ .This resul…

math.AP2025

Soliton resolution and asymptotic stability of $N$ -soliton solutions for the defocusing mKdV equation with a non-vanishing background

Zechuan Zhang, Taiyang Xu, Engui Fan

We analytically study the large-time asymptotics of the solution of the defocusing modified Korteweg-de Vries (mKdV) equation under a symmetric non-vanishing background, which supp…

math.AP2025

Long-time Asymptotics for the Ablowitz-Ladik system with present of solitons

Meisen Chen, Engui Fan, Zhaoyu Wang

We investigate the soliton resolution and PainlevÃ© asymptotics for the focusing Ablowitz-Ladik system with the initial data in a discrete weighted $ℓ^{2}$ space. First, we establ…

Existence of global solutions to the Fokas-Lenells equation with arbitrary spectral singularities

Soliton resolution and asymptotic stability of N-soliton solutions for the defocusing mKdV equation with a non-vanishing background

Long-time Asymptotics for the Ablowitz-Ladik system with present of solitons

Soliton resolution and asymptotic stability of $N$ -soliton solutions for the defocusing mKdV equation with a non-vanishing background