报告题目 (Title)：Riemann-Hilbert approach to the long-time asymptotics of the “good” Boussinesq equation(利用Riemann-Hilbert方法分析“好的”Boussinesq方程的长时间渐近行为)

报告人 (Speaker)：王灯山 教授（北京师范大学）

报告时间 (Time)：2022年10月25日(周二) 10：00

报告地点 (Place)：腾讯会议（会议号：118 563 369）

邀请人(Inviter)：夏铁成 教授

主办部门：理学院数学系

报告摘要：We report our recent work on the long-time asymptotics of the initial-value problem for the “good” Boussinesq equation on the line. The inverse scattering transform formalism implies that the solution of the “good” Boussinesq equation can be expressed in terms of the solution of a three order-matrix Riemann-Hilbert problem. The long-time asymptotic behaviors of the solution are established by performing a nonlinear steepest descent analysis of this Riemann-Hilbert problem.