Title：             General Soliton Solution to the Vector Nonlinear Schrödinger Equation

Speaker：       Baofeng Feng  (University of Texas-Pan American, USA)

Time&Venue：2014.06.30  3:00pm  N514

Abstract:           In the present talk, we consider general soliton solution to the vector nonlinear Schrödinger (NLS) equation of all possible combinations of nonlinearities including all-focusing, all-defocusing and mixed types. By using the KP-hierarchy reduction method based on the Sato theory, we construct a general formula in Gram-type determinants for the vector NLS equation. The condition for the reality of the soliton solution with all possible combinations of nonlinearities is elucidated.