报告题目:Negative order flows of the integrable hierarchy, WKI system and SPEs

报告人：乔志军（美国德克萨斯大学）

报告时间：2022年12月16日 9:00-10:30

报告地点：腾讯会议689857899

摘要: In this talk, we discuss negative order flow of integrable hierarchy and Lax pair.  I will start from the typical CH negative flow to show some basic procedure for generating the integrable negative order flows. Then I will present a two-component short pulse system produced through a negative integrable flow associated with the WKI hierarchy. The Lax representation will be given for the whole hierarchy. Particularly, some eigenvalue problems are provided for investigating the spectrum distribution. The multi-soliton solutions for the two short pulse system investigated, in particular, one-, two-, three-loop soliton, and breather soliton solutions are discussed in details with interesting dynamical interactions and shown through figures. This is the joint work with Qiaoyi Hu and Qilao Zha [Nonlinearity, 30(2017), 3773].

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、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。

邀请人：胡晓瑞