报告题目:Integrable Peakon Models and Beyond
报 告 人:Zhijun Qiao
所在单位:University of Texas Rio Grande Valley
报告时间:2024年6月22日 16:00-18:00
报告地点:Zoom Id: 904 645 6677,Password: 2024
会议链接:
https://zoom.us/j/9046456677?pwd=Y2ZoRUhrdWUvR0w0YmVydGY1TVNwQT09&omn=89697485456
报告摘要: 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. In particular, the CH peakon equation is extended to the b-family quadratic and cubic peakon models (FORQ, MOCH, Novikov Equations etc) with peakon and weak-kink solutions. We will also talk about a new CH-type equation – fifth-order CH equation and present new type solutions – pseudo-peakon solutions and their interactions. Some work in the talk is joint with Dr. BQ Xia and Dr. E Reyes. Open problems are proposed in the end for discussion.
报告人简介:乔志军教授于1997年获得复旦大学数学系博士学位,师从谷超豪院士和胡和生院士。1997 -1999在北京大学数学学院做博士后。 1999年获得百篇优秀博士毕业论文。1999-2001,德国洪堡基金获得者。现任美国德克萨斯大学数学学院讲席教授,研究方向是非线性偏微分方程,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。现已出版著作2部,发表论文180余篇,其中包括著名国际杂志《数学物理学通讯》、《非线性科学》等。现作为项目负责人已经完成20多个国家和国际科研项目。组织超过20个国际会议、研讨会。担任国际权威期刊《Studies in Applied Mathematics》编委,以及《Journal of Nonlinear Mathematical Physics》主编.