Integrable negative order system possessing peakons

发布者:王丹丹发布时间:2022-10-20浏览次数:359

学术报告

 

报告题目: Integrable negative order system possessing peakons    

报告人:Zhijun Qiao教授 University of Texas Rio Grande Valley

报告时间:20221022 9:00-11:00  

腾讯会议:会议 ID 387-266-3917

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报告摘要:In my talk, I will introduce integrable peakon and cuspon models developed in recent years and present a basic approach 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 the b-family quadratic and cubic peakon models with peakon and weak-kink solutions. In the end of my talk, some open problems associated with eigenvalue problems are also addressed 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。在国际顶级刊物Communications in Mathematical PhysicsIEEE Transaction on Geoscience and Remote Sensing (TGRS)等发表学术论文150多篇,出版著作2部。现任国际权威刊物Studies in Applied Mathematics编委和Journal of Nonlinear Mathematical Physics主编。