Long-time asymptotics for the defocusing integrable discrete nonlinear Schrödinger equation

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  • Long-time asymptotics for the defocusing integrable discrete nonlinear Schrodinger equation

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Abstract

We investigate the long-time asymptotics for the defocusing integrable discrete nonlinear Schrödinger equation of Ablowitz-Ladik by means of the inverse scattering transform and the Deift-Zhou nonlinear steepest descent method. The leading part is a sum of two terms that oscillate with decay of order t−1/2.

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