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物理学科云端学术报告(王灯山教授,北京师范大学)

发布者:物电研究生办   发布时间:2020-12-14  浏览次数:231

报告题目 Whitham modulation theory for evolution of initial discontinuity of some integrable nonlinear wave equations

报 告 人王灯山,北京师范大学 教授

报告时间12月14日(周一)下午3:00

直播地址https://meeting.tencent.com/s/zj7S4Mg6sYwm

会 议 ID腾讯会议 493 678 723

报告摘要】        

           The complete 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 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 complex modified Korteweg-de Vries 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.