Long-time asymptotics for the defocusing integrable discrete nonlinear   Schr\"odinger equation
  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 $t^{-1/2}$. 
Hideshi Yamane
math-ph math.AP math.MP