题目: Evolution of initial discontinuity for the integrable nonlinear wave equations
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.
时间：2020年11月5日，15:30—17:00
地点：腾讯会议（会议号：845479195）
主讲人：王灯山
主讲人简介：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“长城学者”计划。