1112.0919 (Hideshi Yamane)

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

Hideshi Yamane

We investigate the long-time asymptotics for the defocusing integrable
discrete nonlinear Schr\"odinger 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 $t^{-1/2}$.

View original: http://arxiv.org/abs/1112.0919