报告题目：Evolution of initial discontinuity for the integrable nonlinear wave equations
报 告 人：王灯山
工作单位：北京师范大学
报告时间：2021-3-31 9:30-11:30；
腾讯会议ID：142 814 575
报告摘要：
The classification of solutions to the integrable nonlinear wave equations with discontinuous initial data is considered by Whitham modulation theory. We first report our work on the complete classification of solutions to the defocusing complex modified Korteweg-de Vries (cmKdV) equation with the step-like initial condition. Then introduce our recent exploration on the Jaulent-Miodek equation with step-like initial data. It is noted that the direct numerical simulations of the defocusing cmKdV equation and Jaulent-Miodek equation are agreed well with the 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，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，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”青年拔尖人才和北京市“长城学者”计划。
