*讲座内容简介：

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}).

*主讲人简介：

范恩贵，复旦大学教授、博士生导师，曾获教育部自然科学二等奖、上海市自然科学二等奖、国际“汤姆森路透卓越研究奖”、复旦大学谷超豪数学奖；主要研究方向是孤立子理论、可积系统、Riemann-Hilbert问题、正交多项式和随机矩阵理论；近年来，连续两届为国家“973”课题成员，并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。