7月16日 王灯山:Far-Field Asymptotics for Multiple-Pole Solitons in the Large-Order Limit

来源:pt真人平台 时间:2020-07-08浏览:15设置


讲座题目:Far-Field Asymptotics for Multiple-Pole Solitons in the Large-Order Limit

主讲人:王灯山  教授

主持人:陈勇

开始来源:pt真人平台 时间:2020-07-16   15:00:00  结束来源:pt真人平台 时间:2020-07-16   16:00:00

讲座地址:腾讯会议 (会议 ID355 863 637)

主办单位:数学科学学院

 

报告人简介:

       王灯山,北京师范大学数学科学学院,教授、博士生导师。主要从事可积系统和渐近分析方面的研究,主持国家自然科学基金面上项目等国家级和省部级项目10余项,参与获得北京市科学技术奖一等奖。入选北京市“科技新星”计划、北京市“高创计划”青年拔尖人才和北京市“长城学者”计划。


报告内容:

The integrable focusing nonlinear Schr?dinger   equation admits soliton solutions whose associated spectral data consist of a   single pair of conjugate poles of arbitrary order. We study families of such   multiple-pole solitons generated by Darboux transformations as the pole order   tends to infinity. We show that in an appropriate scaling, there are four regions in the space-time plane where solutions display qualitatively distinct behaviors: an exponential-decay region, an algebraic-decay region, a non-oscillatory region, and an oscillatory region. Using the nonlinear steepest-descent method for analyzing Riemann-Hilbert problems, we compute the leading-order asymptotic behavior in the algebraic-decay, non-oscillatory,   and oscillatory regions.This is a joint work with D. Bilman and R. Buckingham [arXiv:1911.04327v1].

 


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