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12月15日-物理学科云端报告(刘青平教授,中国矿业大学;王灯山教授,北京师范大学)

发布者:物电研究生办   发布时间:2021-12-10  浏览次数:166

报告一:

【报告题目】A review on Darboux transformations some coupled KdV systems

【报 告 人】刘青平教授 中国矿业大学

【报告时间】1215日下午2:00

【腾讯会议号】951 506 087

【报告摘要】In the soliton theory, the KdV equation is the most important system. This celebrated system   has been generalized in various ways. In this talk, we consider the coupled KdV systems and their Darboux transformations. We will demonstrate how the relevant Darboux transformations  may be constructed.

 

报告二:

【报告题目】Whitham modulation theory and its applications to the initial discontinuity of integrable systems

【报 告 人】王灯山教授,北京师范大学

【报告时间】1215日下午3:20

【腾讯会议】951 506 087

【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 equation with the step-like initial condition. Then introduce our recent exploration on the Jaulent-Miodek equation and defocusing AB system with step-like initial data. It is noted that the direct numerical simulations of these integrable systems are agreed well with the solutions corresponding to Whitham modulation theory, which verifies the validity of results from Whitham modulation theory.

欢迎感兴趣的老师和同学参加!