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DATE | 2021-09-30 16:10-17:00 |

PLACE | 數學館3174教室 |

SPEAKER | 黃信元 教授（國立陽明交通大學應用數學系） |

TITLE | An Introduction to Inverse Scattering Transform |

ABSTRACT |
視訊會議
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. |