报告题目: Integrable Peakon Models

报告人：乔志军教授

报告邀请人：郑召文

报告时间: 2024年4月1日(星期一), 15:00-16:00

报告地点: 东校区第二教学楼303

内容摘要: In this talk, we will introduce integrable peakon models developed in recent years and present a basic approach how to get the peakon solutions of integrable equations. We will see that the well-known CH equation is included in the negative order CH hierarchy while the Dym type equation is included in the positive order CH hierarchy. In particular, the CH peakon equation is extended to the b-family quadratic and cubic peakon models (FORQ and Novikov Equations etc) with peakon and weak-kink solutions. We will also present new type of peakon solutions of partial differential equations, called rogue peaked solitons provided with a non-traveling wave. Some linear and nonlinear models are taken to illustrate the rogue peakon solutions. In the end of the talk, some open problems are proposed for discussion.

报告人简介: 乔志军，美国德克萨斯大学讲席教授。1997年获得复旦大学博士学位,师从谷超豪院士和胡和生院士。主要从事非线性偏微分方程,可积系统与非线性尖孤波,KdV方程和孤立子理论,可积辛映射,R-矩阵理论,雷达图像处理和数学物理的反问题等领域的研究。1999年获全国首届百篇优秀博士论文, 1999-2001年在德国任Humboldt学者。主持完成国家级和国际级项目20余项。在国际权威刊物Communications in Mathematical Physics、IEEE Transaction on Geoscience and Remote Sensing (TGRS)等发表学术论文150多篇,出版著作2部。已指导研究生和博士后数十名，现任国际著名刊物Studies in Applied Mathematics编委和Journal of Nonlinear Mathematical Physics主编之一。

欢迎感兴趣的老师和同学参加！

数学与系统科学学院