Asymptotic behavior of solutions of defocusing integrable discrete nonlinear Schrodinger equation

作者：Yamane Hideshi^*

来源：Frontiers of Mathematics in China, 2013, 8(5): 1077-1083.

DOI：10.1007/s11464-013-0279-9

• Discrete nonlinear Schrodinger equation
• Ablowitz-Ladik model
• asymptotics
• inverse scattering transform
• nonlinear steepest descent

We report our recent result about the long-time asymptotics for the defocusing integrable discrete nonlinear Schrodinger equation of Ablowitz-Ladik. The leading term is a sum of two terms that oscillate with decay of order t (-1/2).

• 出版日期2013-10