Localized stem structures in soliton reconnection of the asymmetric Nizhnik-Novikov-Veselov system
数学专题报告
报告题目(Title)：Localized stem structures in soliton reconnection of the asymmetric Nizhnik-Novikov-Veselov system
报告人(Speaker)：贺劲松 教授/博导（深圳大学）
地点(Place)：后主楼1220
时间(Time)：2026年5月19日（周二）15:00-16:00
邀请人(Inviter)：王灯山
报告摘要
The reconnection processes of 3-solitons with 2-resonance can produce distinct local structures that initially connect two pairs of V-shaped branches, then disappear, and later re-emerge as new forms. We call such local structures as stem structures. In this paper, we investigate the variable-length stem structures during the soliton reconnection of the asymmetric Nizhnik-Novikov-Veselov system. We consider two scenarios: weak 2-resonances (i.e., a12 = a13 = 0, 0 < a23 < +∞) and strong 2-resonances (i.e., a12 = a13 = +∞, 0 < a23 < +∞). We determine the asymptotic forms of the four arms and their corresponding stem structures using two-variable asymptotic analysis method which is involved simultaneously with one space variable y (or x) and one temporal variable t. Different from known studies, our findings reveal that the asymptotic forms of the arms S2 and S3 differ by a phase shift as t → ±∞. Building on these asymptotic forms, we perform a detailed analysis of the trajectories, amplitudes, and velocities of the soliton arms and stem structures. This is a joint work with Yuan Feng and Cheng Yi, please see J. Math. Phys. 66, 123502 (2025) for more information.
主讲人简介
贺劲松，深圳大学教授，博导。1999年7月研究生毕业于中国科大数学系，获得理学博士学位；留校任教至2008年12月，任讲师，副教授。2009年1月起，任宁波大学数学系教授； 2018年11月入职深圳大学高等研究院，任数学教授。贺教授主要研究领域是可积非线性偏微分方程（组）的数学理论及其物理应用，目前已发表SCI收录论文240余篇, Google Scholar系统引用超1万次；多次到包含剑桥大学，牛津大学， 罗马第一大学等世界著名大学访问和学术报告，并与国外多名教授开展科研合作；2021年11月起担任国外SCI期刊Physica D编辑；指导博士毕业生11名， 硕士毕业生30名。 贺教授入选教育部2008年度新世纪优秀人才支持计划（2009-2011）， 并获得国家自然科学基金项目10余项。
