Long-time asymptotics for the defocusing integrable discrete nonlinear Schr?dinger equation

Hideshi Yamane

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Long-time asymptotics for the defocusing integrable discrete nonlinear Schr?dinger equation

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摘要

We investigate the long-time asymptotics for the defocusing integrable discrete nonlinear Schr?dinger 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).

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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
正文语种英语
中图分类数学;
关键词
discrete nonlinear Schr?dinger equation; Ablowitz-Ladik model; asymptotics; inverse scattering transform; nonlinear steepest descent;

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Long-time asymptotics for the defocusing integrable discrete nonlinear Schr?dinger equation

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