可积系统系列报告：Asymptotic problems of some integrable systems: Riemann-Hilbert approach

讲座时间 Datetime: 2021年10月21日，星期四， 16:00-17:30

地点 Venue: 腾讯会议，940 967 976

报告人 Speaker:  王灯山 教授

单位 Affiliation: 北京师范大学

报告摘要 Abstract:

We report our recent work on the asymptotic analysis of three integrable systems with second-order and third-order Lax pairs by Riemann-Hilbert approach. After introduction, the second part introduces the long-time asymptotic behaviors of two separable plane waves of the focusing NLS equation. The third part focuses on the far-field behaviors of multiple-pole solitons of the focusing NLS equation in the large-order limit. The fourth part considers the long-time asymptotics of the focusing KE equation with nonzero boundary conditions at infinity. Finally, we report out recent result on the long-time asymptotics of the initial-value problem for the good Boussinesq equation on the line, which is a joint work with J. Lenells and C. Charlier at KTH Royal Institute of Technology in Sweden [arXiv:2003.04789v1 10 Mar. 2020].