學術活動
数科院约请美国得克萨斯泛美大学乔志军教授作学术报告:Integrable peakon and cuspon equations
2008-12-31
來源:科技處 點擊次數:單位: 数学科学学院
學術活動名称:學術報告
學術活動主题:Integrable peakon and cuspon equations
主持(講)人 :乔志军 教授(美国得克萨斯泛美大学)
時間: 2009年1月6日(星期二)下昼2:00-4:00
地點: 数学科学学院412课堂
備注: Abstract: In this talk, we will introduce peakon and cuspon equations and present a basic approach how to get peakon and cuspon solutions. Those equations include the well-known Camassa-Holm (CH), the Degasperis-Procesi (DP), and other new peakon equations. Interesting thing is that an integrable equation may have no classical smooth solitons.
In the talk, I will illustrate this feature through two new integrable equations that I found recently. Later, I take the CH case as a typical example to show how we obtain the peaked solitons and parametric solutions on symplectic submanifold.