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math.AP2024
Lattice Approximations to NLS
Zhimeng Ouyang
In this paper, we prove that solutions of the discrete NLS lattice model for initial data with double frequency components converge to solutions of a coupled system of cubic…
math.AP2024
The modified Korteweg--de Vries limit of the Ablowitz--Ladik system
Rowan Killip, Zhimeng Ouyang, Monica Visan +1
For slowly-varying initial data, solutions to the Ablowitz-Ladik system have been proven to converge to solutions of the cubic Schrödinger equation. In this paper we show that in t…