2 papers
math-ph2026
A dense focusing Ablowitz-Ladik soliton gas and its asymptotics
Meisen Chen, Engui Fan, Zhaoyu Wang +2
In this paper, we propose a soliton gas solution for the focusing Ablowitz-Ladik system. This solution is defined as the large N limit of the N-soliton solution, and arises from a…
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 Painlevé asymptotics for the focusing Ablowitz-Ladik system with the initial data in a discrete weighted space. First, we establ…