Common bilinear equations behind several important soliton equations

讲座时间 Datetime: 2021年12月29日，星期三，9:30-11:00

地点 Venue:腾讯会议，114 688 444

报告人 Speaker:  冯宝峰 教授

单位 Affiliation: 美国得克萨斯大学大河谷分校

报告摘要 Abstract:

In this talk, we will first reveal a fact that several important soliton equations: the modified Camassa-Holm equation, the Fokas-Lenells equation, the complex short pulse equation and the massive Thirring model share the same set of bilinear equations. Then, we will show this set of bilinear equations can be generated from the discrete KP equation, which paves a way for the construction of integrable discretizations of these soliton equations. In addition, it can be observed that a deformed negative flow exists and is compatible with the regular negative and positive flows. An extension of KP theory is called for to explain this fact.