报告题目:introductions to integrable peakon models
主讲人:乔志军教授
单位:德克萨斯大学
时间:4月4日10:00
地点:学院一楼报告厅
摘要:in this talk, i will introduce some integrable models which possess peaked solitons (peakons), including the well-known camassa-holm (ch), the degasperis-procesi (dp), and other new peakon equations developed in recent years. i will take the ch case as a typical example to explain the details. in particular, the ch peakon equation is able to be extended to the dp, the b-family, the forq, the novikov, the modified ch (moch), and other higher order models with peakons or pseudo-peakons. some open problems will also be addressed for discussion in the end. some work is joint with baoqiang xia and enrique reyes.
简介:乔志军,美国德克萨斯大学(utrgv)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。