关于举行复旦大学秦振云副教授学术报告会的通知

报告题目：Rogue waves governed by the nonlinear integrable equation

报  告  人：秦振云副教授（复旦大学）

报告时间：2021年 9月 2日（星期 四）上午 9：00-10：00                 

报告地点：腾讯会议，会议号：564 518 042

邀  请 人：凌黎明教授

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数学学院

2021年9月1日

报告摘要：General higher-order rogue waves of a vector nonlinear Schrodinger equation (Manakov system) are derived using a Darboux-dressing transformation with an asymptotic expansion method. The Nth-order semirational solutions containing 3N free parameters are expressed in separation-of-variables form. These solutions exhibit rogue waves on a multisoliton background. They demonstrate that the structure of rogue waves in this two-component system is richer than that in a one-component system. Furthermore, intricate dynamics of rogue waves governed by the nonlinear integrable equation are considered. Especially, the second order rogue wave solutions of the Sasa-Satsuma evolution equation are presented that have significantly more complicated structure than in the case of the nonlinear Schrödinger equation. Special choices of the free parameters allow us to present these solutions in the simplest possible way and to illustrate them graphically.

报告人简介：秦振云，复旦大学副教授，已主持国家自然科学基金青年项目与面上项目，主持上海市浦江人才计划特殊急需人才（D类）和上海市自然科学基金，主持复旦大学“一流建设”原创科研个性化支持项目（引导项目），在高水平的国际SCI期刊上发表论文数四十余篇。