报告题目：Rational solutions of the defocusing nonlocal nonlinear Schrödinger equation: Asymptotic analysis and soliton interactions
报告时间：2020年11月12日周四14：00—16：00
报告地点：腾讯会议ID：681 226 112
报告人：许韬 教授
报告摘要：We study the asymptotic behavior and soliton interactions for the rational solutions of the defocusing nonlocal nonlinear Schrödinger equation. Based on an improved asymptotic analysis method, we derive the explicit expressions of all asymptotic solitons of the rational solutions with the order 1≤N≤4. It turns out that the asymptotic solitons are localized in the straight or algebraic curves, and the exact solutions approach the curved asymptotic solitons with a slower rate than the straight ones. Moreover, we find that all the rational solutions exhibit five different types of soliton interactions, and that the interacting solitons are divided into two halves with each having the same amplitudes. Particularly for the curved asymptotic solitons, there exists a slight difference for their velocities between at t and -t. In addition, we reveal that the soliton interactions in the rational solutions with N≥2 are stronger than those in the exponential and exponential-and-rational solutions.
报告人简介：许韬，先后于北京航空航天大学和北京邮电大学获得学士和博士学位，现为中国石油大学（北京）澳门十大娱乐平台正规数学系教授，力学博士生导师。主要从事可积系统和非线性数学物理方程研究，主持国家自然科学基金2项，主持石油类科研课题1项。近年来，在Physica D、Physical Review E、Physics Letters A、Journal of Mathematical Physics等国际知名期刊发表第一作者或通讯作者论文30余篇，入选ESI高被引论文3篇、热点论文1篇，累计SCI他引次数达1000余次。