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Long-time asymptotics for the defocusing integrable discrete nonlinear Schrödinger equation (1112.0919v2)
Published 5 Dec 2011 in math-ph, math.AP, and math.MP
Abstract: 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 $t{-1/2}$.
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