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math.AP2022
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 bijectivity for defocusing Ablowitz-Ladik systems in the discrete Sobolev space by inverse spectral method. Based on these results, the…
nlin.SI2022★ 15 cited
Asymptotic dynamics of higher-order lumps in the Davey-Stewartson II equation
Lijuan Guo, P. G. Kevrekidis, Jingsong He
A family of higher-order rational lumps on non-zero constant background of Davey-Stewartson (DS) II equation are investigated. These solutions have multiple peaks whose heights and…