| |

DATE | 2019-12-05 16:10-17:00 |

PLACE | 數學館3174教室 |

SPEAKER | 陸冰瀅博士（中央研究院數學研究所） |

TITLE | Characterization of Real Regular Merging Soliton Solutions of the Boussinesq Equation |

ABSTRACT | The Boussinesq equation can be obtained by the reduction of the KP hierarchy. By considering its Sato \tau-function and the complete characterization of totally nonnegative Grassmannians, we are able to give a complete characterization of its multiple soliton solutions. In particular, we will explain why certain B\”acklund Transformations lead to singularity in the soliton solutions while others do not in Rasin-Schiff 2017 J PHYS A-MATH THEOR. 50(32). |