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.

Keywords

Discrete nonlinear Schrödinger equation / Ablowitz-Ladik model / asymptotics / inverse scattering transform / nonlinear steepest descent

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