High order peakon models and non-traveling rogue peakons
科研大讨论系列报告
报告题目(Title):High order peakon models and non-traveling rogue peakons
报告人(Speaker):乔志军 (美国德克萨斯大学)
地点(Place):后主楼1223;腾讯会议ID:453 850 0147
时间(Time):2023年6月16日(周五), 19:30-20:30
邀请人(Inviter):王灯山
报告摘要
Most integrable peakon equations come from the negative order flow in the hierarchy. We will take an example to explain the procedure bit, and then introduce some higher order models with peakons or pseudo-peakons we proposed recently. In this talk, we also present new type of peakon solutions of partial differential equations, called rogue peakons provided with a non-traveling wave. Some linear and nonlinear models are taken to illustrate the rogue peakon solutions. Some open problems will be addressed for discussion in the end. Part of work is joint with my student Zhenteng Zeng, Dr. Baoqiang Xia, Dr. Quansheng Liu, and Dr. Enrique Reyes
主讲人简介
乔志军,美国德克萨斯大学(UTRGV)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。