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

Abstract

We investigate the long-time asymptotics for the defocusing integrable discrete nonlinear Schrödinger equation by means of the Deift-Zhou nonlinear steepest descent method. The leading term is a sum of two terms that oscillate with decay of order $t^{-1/2}$.

arXiv comment36 pages, 6 figures