报 告 人：虞国富 教授 （上海交通大学）
邀 请 人：张 成
报告摘要： In this talk, we study the relation between the real/complex modified coupled dispersionless (CD) equations and the real/complex modified short pulse (SP) equations. We 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. 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. In the second part of the talk, we present an integrable discrete analogue of the modified SP. The numerical simulation is conducted by using the integrable scheme.