报告题目:On the modified coupled dispersionless equations and the modified short pulse equation

报告人：虞国富教授

报告时间： 上午10:00-11:00

报告地点：理A110

报告题目：On the modified coupled dispersionless equations and the modified short pulse equation

报告时间：2018.04.12  (周四) 上午10:00-11:00

报告地点：理A110

报告人：虞国富教授 (上海交通大学)

摘要：In this talk, we study the real and complex modified coupled dispersionless (CD) equations, the real and complex modified short pulse (SP) equations geometrically and algebraically. From the geometric point of view, we first establish the link of the motions of space curves to the real and complex modified CD equations, then to the real and complex modified SP equations via hodograph transformations. The integrability of these equations are confirmed by constructing their Lax pairs geometrically. In the second part of the paper, it is made clear for

the connection between the real and complex modified CD and modified SP equations and the two-component extended Kadomtsew-Petviashvili (KP) hierarchy. As a by-product, the $N$-soliton solutions in the form of determinants for these equations are provided.

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报告人简介：

虞国富教授， 2007年6月博士毕业于中国科学院数学与系统科学研究院; 加拿大蒙特利尔大学博士后。现为上海交通大学数学科学学院教授、博士生导师。主要从事孤立子与可积系统、特殊函数、正交多项式方面的研究。在国外重要刊物上发表SCI论文30余篇。主持国家自然科学基金、上海市晨光计划、上海交通大学晨星青年学者奖励计划等多项研究课题。应邀多次访问香港科技大学、香港浸会大学。