Integrable fifth-order CH equation with pseudo-peakons.


学 术 报 告

报告题目 Integrable fifth-order CH equation with pseudo-peakons.

报告时间2021111日(周二) 上午930-1130

报告地点:腾讯会议    会议号:147560361

主讲专家:乔志军 讲席教授  德克萨斯大学

报告摘要 In this talk, I will introduce a fifth order CH-type equation. It is shown integrable  in the sense of zero curvature formulations ( equivalent to Lax pair).  The equation admits pseudo-peakons, this is, bounded solutions with differentiable first derivative and continuous and bounded second derivative, but whose higher order derivatives blow up. Mutli-pseudo-peakon system is constructed and proved integrable via an interesting bridge transformation to the standard CH peakon system,  and some open problems are addressed in the end. This work is joint with Enrique Reyes and Mingxuan Zhu (more details, please see arXiv:2111.07733).

专家介绍乔志军,男,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Kassel大学任Humboldt学者。2013年获德克萨斯大学杰出研究奖,2016年被授予德克萨斯大学讲席教授。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。