报告主题：Asymptotic analysis and soliton interactions

报告人：许韬

报告时间：2020-12-28 14:00:00

报告地点：腾讯会议:305244488

个人简介:

       许韬，教授，博士生导师，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）理学院数学系教授，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，累计SCI他引次数达1000余次。

       内容简介：

        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.