报告题目：Integrable Models with Peakon Solutions of Non-traveling Wave Type

报告人：乔志军 教授

报告摘要：In my talk, I willintroduce integrablepeakon andcuspon modelsdevelopedin recentyears and present a basicapproach how to get the peakon models.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 theb-family quadraticand cubic peakon models with peakon and weak-kink solutions.We will also presentnew type of peakon solutions of partial differential equations, called rogue peaked solitons provided with an non-traveling wave. Some linear and nonlinearmodels are takento illustrate therogue peakon solutions. In the end of my talk, some open problems arealso addressed for discussion. Some of this work is the joint with my student Zhenteng Zeng.

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、IEEETransactionon 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Journalof Nonlinear Mathematical Physics主编之一。

报告时间：2023年4月20日10:00-11:00

腾讯会议：654-949-688

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内蒙古大学数学科学学院

2023年4月18日