主題：數學類教學、學術報告
主要內容：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.
專家姓名：王燈山
工作單位：北京師范大學
專長和學術成就：數學教育、科研
專家簡介：王燈山，北京師范大學數學科學學院，教授、博士生導師。主要從事可積系統和漸近分析方面的研究，主持國家自然科學基金面上項目等國家級和省部級項目10余項，參與獲得北京市科學技術獎一等獎。入選北京市“科技新星”計劃、北京市“長城學者”計劃。
時間：2020-11-05 16:00:00
地點：線上