学 术 报 告
报告题目1： Eigenfunction symmetry of the Korteweg–de Vries equation
主讲专家：陈勇 教授/博导华东师范大学
报告时间：2020年11月11日（周三） 晚上 7：00-8：00
报告形式：腾讯会议 ID：366 569 029
报告摘要：In nonlinear science, it is very difficult to find exact interaction solutions among solitons and other kinds of complicated waves such as cnoidal waves and Painlevé waves. Actually, even if for the most well-known prototypical models such as the Kortewet–de Vries (KdV) equation and the Kadomtsev-Petviashvili (KP) equation, this kind of problem has not yet been solved. In this talk, the explicit analytic interaction solutions between solitary waves and cnoidal waves are obtained through the localization procedure of nonlocal symmetrieswhich are related to Darboux transformation for the well-known KdV equation. The same approach also yields some other types of interaction solutions among different types of solutions such as solitary waves, rational solutions, Bessel function solutions, and or general Painlevé II solutions.
专家介绍：
陈勇，华东师范大学教授、博士生导师，上海市闵行区卓越拔尖人才。主要从事非线性数学物理、可积系统、计算机符号计算和程序开发的研究；主持和参与国家自然科学基金面上项目、博士点基金、两次国家基金委重点项目基金、连续两届国家自然科学基金创新群体基金（项目骨干成员）、国家重大科学研究计划项目（973）等项目（骨干科学家）；已发表SCI论文260余篇，他引3000余次。