#海大学术# 文理学院专家讲座—Integrable equations with peakons and cupsons

摘要: In my talk, I will introduce integrable peakon and cuspon equations and present a basic approach how to get peakon solutions. Those equations include the well-known Camassa-Holm (CH), the Degasperis-Procesi (DP), and other new peakon equations. I will take the CH case as a typical example to explain the details and show that the Camassa-Holm (CH) spectral problem yields two different integrable hierarchies of nonlinear evolution equations (NLEEs). In particular, the CH peakon equation is extended to the FORQ and other higher order peakon models with peakon and weak-kink solutions. In the end of my talk, some open problems are also addressed for discussion.

主讲人：乔志军

主讲人简介：乔志军教授于1997年获得复旦大学数学系博士学位，从师谷超豪院士和胡和生院士。1997 -1999在北京大学数学学院做博士后。 1999年获得百篇优秀博士毕业论文。1999-2001，德国洪堡基金获得者。现任美国德克萨斯大学数学学院讲席教授。现有40多位海外专家合作者,已经指导5位博士后及超过20位研究生。研究方向是非线性偏微分方程，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。现已出版著作2部，发表论文180余篇，其中包括著名国际杂志《数学物理学通讯》、《非线性科学》等。现作为项目负责人已经完成20多个国家项目。组织超过20个国际会议、研讨会。任国际期刊《Journal of Applied Analysis and Computation》和《Advances in Mathematical Physics》编委。

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✨Merry Christmas✨NCT 127 Decorating First Christmas Tree in NY (+西珍妮~ LOVE)

COMING SOON on Ch. NCT DAILY @ 8PM(KST) TODAY!

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#TBT to the Château de Commarque, a 12th-century castle complex in the Dordogne region of France where WMF began work in the early 1990s. Abandoned in the early 17th century, the site was neglected for hundreds of years until a comprehensive conservation plan was put in place.

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