Long-time asymptotic analysis for defocusing Ablowitz-Ladik system with initial value in lower regularity

Chen Meisen, Fan Engui, He Jingsong

Recently, we have given the $l^2$ bijectivity for defocusing Ablowitz-Ladik systems in the discrete Sobolev space $l^{2,1}$ by inverse spectral method. Based on these results, the…