报告人：王灯山 （北京师范大学365英国上市官网，教授）

报告题目：Asymptotic analysis of some integrable systems with second-order and third-order Lax pairs

腾讯会议时间：2021/01/20 19:00-20:00 (GMT+08:00)

点击链接入会，或添加至会议列表：https://meeting.tencent.com/s/QtHu93m4FOEA

会议 ID：183 784 745

报告摘要：
In this talk, we report our recent work on the asymptotic analysis of three integrable systems with second-order and third-order Lax pairs by the nonlinear steepest descent method of Deift and Zhou. The three integrable systems are the focusing NLS equation, the focusing KE equation and the good Boussinesq equation. 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 is reported briefly. 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 [math.AP] 10 Mar. 2020].

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