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

Hideshi Yamane

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

机译：离焦可积离散非线性Schroedinger方程的长时间渐近性

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摘要

We investigate the long-time asymptotics for the defocusing integrable discrete nonlinear Schrodinger equation of Ablowitz-Ladik by means of the inverse scattering transform and the Deift-Zhou nonlinear steepest descent method. The leading part is a sum of two terms that oscillate with decay of order t~(-1/2).

机译：通过逆散射变换和Deift-Zhou非线性最陡下降方法，研究了Ablowitz-Ladik的散焦可分离离散非线性Schrodinger方程的长时间渐近性。前导部分是两个项的总和，其随阶数t〜（-1/2）的衰减而振荡。

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来源
《Journal of the Mathematical Society of Japan》 |2014年第3期|765-803|共39页
作者
Hideshi Yamane;
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作者单位

Department of Mathematical Sciences Kwansei Gakuin University Gakuen 2-1, Sanda Hyogo 669-1337, Japan;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
discrete nonlinear Schroedinger equation; Ablowitz-Ladik model; asymptotics; inverse scattering transform; nonlinear steepest descent;

机译：离散非线性Schroedinger方程;Ablowitz-Ladik模型;无症状逆散射变换非线性最速下降;

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

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