报告题目：Whitham modulation theory and the classification of solutions of the Riemann problem for the Fokas-Lenells equation
报 告 人：田守富
工作单位：中国矿业大学
报告时间：2025-05-27 8:30-10:30
会议地点： 数信学院305
报告摘要：In this work, we explore the Riemann problem of the Fokas-Lenells equation given initial data in the form of a step discontinuity by employing the Whitham modulation theory. The periodic wave solutions of the Fokas-Lenells equation are characterized by elliptic functions along with the Whitham modulation equations. Moreover, we find that the $\pm$ signs for the velocities of the periodic wave solutions remain unchanged during propagation. Thus, when analyzing the propagation behavior of solutions, it is necessary to separately consider the clockwise (negative velocity) and counterclockwise (positive velocity) cases. In this regard, we present the classification of the solutions to the Riemann problem of the Fokas-Lenells equation in both clockwise and counterclockwise cases for the first time.
报告人简介：田守富，中国矿业大学数学学院教授、博士生导师、省级特聘教授，2012年博士毕业于大连理工大学数学科学学院，主要从事可积系统、反散射理论、Riemann-Hilbert问题、渐近分析等的研究；主持国家自然科学基金面上项目等多项研究课题；研究成果在《Adv. Math.》、《Math. Ann.》和《中国科学》等国内外期刊上发表学术论文多篇； 曾获辽宁省自然科学奖二等奖、淮海科技二等奖、江苏省科技奖三等奖、淮海科技英才奖、江苏省数学会科技奖一等奖(原江苏省数学成就奖)和江苏省工业与应用数学学会青年科技奖等；入选国家高层次青年人才计划、江苏省“333工程”中青年科学技术带头人、江苏省“六大人才高峰”高层才人才计划和2020-2024连续五年爱思唯尔中国高被引学者等。
