报告主题：Integrable two-component models with peakons, weak kink solutions and their interplaying

主讲人：乔志军教授（德克萨斯大学）

主持人：贺劲松教授

时间：2023年5月19日周五14:00

地点：致知楼706

报告摘要：

In this talk, we present integrable two-component models with peakon and weak kink solutions. The two-component model is proven integrable through its Lax pair and infinitely many conservation laws. Moreover, we investigate the interaction of multi-peakons and interplaying of weak-kink with peakons for two-component models. We will also discuss about reductions from two-component models and discuss some very interesting solutions, such as nontraveling type of peakons, new type of N-peakon solutions, N-weak-kink solutions, weak hat-shape soliton solutions, periodic-peakon solutions, and rational peakon solutions. In particular, we first time propose N-weak-kink solutions, rational peakon solutions, and weak-kink-pekaon interaction solutions. Those results are joint work with my former postdoctoral fellow Dr. Baoqiang Xia.

嘉宾简介：

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主编之一。