报告题目 (Title):Elementary Introduction to the Finite-Gap Integration Theory (Finite-Gap积分理论)
报告人 (Speaker):Maksim Pavlov 教授(名古屋大学)
报告时间 (Time):2024年5月17日 14:00-15:30
报告地点 (Place):校本部FJ206
邀请人(Inviter):张大军
主办部门:永利数学系
报告摘要:
We consider the so called Energy Dependent Schröedinger equation. Then we construct multi-phase solutions of corresponding 2D integrable dispersive systems. Open questions like: Riemann theta-function, Darboux transformation, multi-soliton determinant formulas,... will be discussed. Also the 3D Mikhalev system will be considered as an analogue of KP equation for these integrable dispersive systems.