报告题目：The Whitham modulation theory and evolutions of the initial discontinuity in the nonlinear integrable equations of NLS type
报 告 人：王灯山（北京师范大学 教授）
报告时间：2022年12月6日 下午4:30开始
报告地点：腾讯会议（会议号：156 899 705）
报告摘要：The classification of solutions to the integrable equations of NLS type with discontinuous initial data is studied by Whitham modulation theory. We first report our work on the complete classification of the solutions to the NLS equations with the step-like initial conditions. Then introduce our recent exploration on the defocusing complex modified Korteweg-de Vries equation with discontinuous initial data. It is noted that the results of the direct numerical simulations for these equations are agreed well with the asymptotic solutions corresponding to Whitham modulation theory, which verifies the validity of results from Whitham modulation theory.
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，在Analysis & PDE, Physical Review Letters, J. Differential Equations, J. Nonlinear Science 和Physica D等国际期刊发表学术论文几十篇，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，曾获得茅以升北京青年科技奖，并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、北京市“长城学者”计划以及爱思唯尔2020、2021年中国高被引学者。
