报告题目：Integrability and Dynamical Behavior of Solutions to Nonlinear Dispersive Equations
报告时间：2025年10月20日（星期一）上午9:45
报告地点：上海理工大学卓越楼，810会议室
报告摘要：Integrable systems, including the well-known Schrodinger, Korteweg-de Vries (KdV) and Camassa-Holm (CH) equations, exhibit a range of remarkable properties, among which the existence of solitons is particularly notable. Various e ective methods have been developed to study the dynamical behavior and stability of solitons in these systems. Crucially, the integrability of such systems plays a central role in understanding soliton dynamics and stability. In this talk, I will provide a survey on how integrability can be leveraged to investigate the dynamical behavior and stability of solitons and other related solutions. Additionally, several open questions pertinent to this topic will be discussed.
报告人简介:现任宁波大学数学与统计学院教授，博士生导师。浙江省特级专家，国家杰出青年基金获得者，享受国务院政府特殊津贴专家，中国数学会常务理事， 浙江省数学会副理事长。主要从事可积系统的几何和可积结构、非线性数学物理方程的不变量、几何性质、解的稳定性和奇性等方面的研究。研究得到国家杰出青年基金、国家自然科学基金重点项目、面上项目等项目的资助。曾获得陕西省科技进步一等奖、二等奖，浙江省自然科学二等奖和国家教委科技进步奖等。 现任《Stud. Appl. Math.》,《Comm. Pure Appl. Anal.》《J.Phys. A: Math. Theor.》等杂志编委，《纯粹数学和应用数学》副主编和《Sci. China Math.》客座编委。