|Colloquium, 國立成功大學數學系 林育竹教授|
Thursday, September 23, 15:10—17:00 數學系3174
|Colloquium, 國立陽明交通大學應用數學系 黃信元教授|
Thursday, September 30, 16:10—17:00 數學系3174
Title: An Introduction to Inverse Scattering Transform
It is an introductory talk on inverse scattering transform method in integrable systems. The inverse scattering transform (IST) is a method for solving some non-linear partial differential equations. The method is a non-linear analogue of the Fourier transform. This method was first introduced by Gardner-Greene-Kruskal-Miura for the Korteweg–de Vries equation, and soon extended to the nonlinear Schrodinger equation, sine-Gordon equation, the Toda lattice equation and so on. In this talk, I will introduce the IST for Kdv and Toda Lattice, and the connection between IST and Riemann-Hilbert problem.