Asymptotic behavior of solutions of defocusing integrable discrete nonlinear Schrödinger equation

Abstract

We report our recent result about the long-time asymptotics for the defocusing integrable discrete nonlinear Schrödinger equation of Ablowitz- Ladik. The leading term is a sum of two terms that oscillate with decay of order t^-1/2

Key words： Discrete nonlinear Schrödinger equation; Ablowitz-Ladik model; asymptotics; inverse scattering transform; nonlinear steepest descent

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