Special Session 34: Recent advances on integrable systems and related topics

On the nonlinear waves for the coupled complex mKdV system
Xiaochuan Liu
Xi`an Jiaotong University
Peoples Rep of China
Co-Author(s):    
Abstract:
In this talk, I will present some recent progress in the studies of nonlinear waves of the integrable coupled complex mKdV (ccmKdV) system. The general dark soliton solutions in pfaffian form are constructed and the link between the ccmKdV system and the BKP hierarchy is clarified. Furthermore, the multi-breather solutions are derived using the Kadomtsev-Petviashvili reduction method. This talk is based on the joint work with Professor Bao-Feng Feng and Dr. Chenxi Li.