Solitons, Nonlinear waves, Integrable systems and Mathematical physics
副标题:
时间:2019-12-27 来源:
题目: Solitons, Nonlinear waves, Integrable systems and Mathematical physics
报告人: Xudan Luo (State University of New York at Buffalo)
时间地点: 2019.12.29 15:00pm N204
摘要: The Korteweg deVries (KdV) equation is a mathematical model for waves on shallow water. Inverse scattering transform (IST) for KdV equation with zero boundary conditions and step-like boundary conditions were studied in 1967 and 1985, respectively. In this talk, I will show my results on long-time asymptotic, interaction and position shift for KdV equation with step-like boundary conditions. Moreover, spectral theory of Zakharov-Shabat scattering problem associated to the nonlinear Schrodinger equation with elliptic potentials will be discussed.