报告题目：Higher-order algebraic soliton solutions of the Gerdjikov–Ivanovequation: Asymptotic analysis and emergence of rogue waves

主讲人：许韬教授（中国石油大学（北京））

报告邀请人：孙岩讲师

报告时间：2022年07月16日上午10:00-11:30

报告地点：腾讯会议354-856-271

会议链接：https://meeting.tencent.com/dm/4fZIOVUg2pVP

报告摘要：In this talk, we derive the determinant representation of higher-order algebraic soliton solutions of the Gerdjikov-Ivanov equation by using the Darboux transformation and some limit technique. Then, based on the asymptotic balance between different algebraic terms, we obtain the asymptotic expressions of algebraic soliton solutions with the order 2≤N≤4. It turns out that all the asymptotic solitons have the same amplitudes, most of them are located in the parabolic curves and thus have the varying velocities (except that one pair of asymptotic solitons are located in the straight lines for the odd-order cases), and they exhibit the elastic interactions of the attractive type. In addition, we reveal that the transient rogue waves are formed in the soliton-interaction region and the peak value is exactly N times the amplitude of individual soliton.

个人简历：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）必赢766net手机版数学系教授，博士生导师，曾受留学基金委资助访问过美国布法罗大学和加拿大麦克马斯特大学。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1项、北京市自然科学基金1项。近年来，在Physica D、Proceedings A、Physical Review E、Physics Letters A、Journal of Mathematical Physics等期刊发表第一、通讯作者论文40余篇，累计SCI他引次数达1000余次。