报告题目：Long-time asymptotics for the focusing Fokas-Lenells equation in the solitonic region of space-time

报告人： 范恩贵教授

工作单位： 复旦大学

报告时间：3月2日（周三）15:00-16:00

腾讯会议号：912229431

报告摘要：

We study the long-time asymptotic behavior of the focusing Fokas-Lenells (FL) equation with generic initial data in a Sobolev space which supports bright soliton solutions. Based on the  Riemann-Hilbert problem for the initial value problem of the focusing FL equation,  we show that inside any fixed time-spatial cone, the long-time asymptotic behavior of the solution for the focusing FL equation can be characterized with an N-soliton on discrete spectrums and a leading order term O(t^{-1/2}) on continuous spectrum up to a residual error orderO(t^{-3/4}).

报告人简介：

范恩贵，复旦大学教授、博士生导师，主要研究方向：孤立子理论、可积系统、Riemann-Hilbert问题、正交多项式和随机矩阵理论；曾获教育部自然科学二等奖、上海市自然科学二等奖、上海市曙光学者、谷超豪数学奖；主持国家自然科学基金、上海曙光计划、上海曙光计划跟踪课题等多项研究课题。