DATE2019-12-05 16:10-17:00



TITLECharacterization 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).