Special Session 49: 

On a coupled focusing-defocusing complex short pulse equation

ZUONONG ZHU
Shanghai Jiao Tong University
Peoples Rep of China
Co-Author(s):    
Abstract:
Nonlinear Schr\odinger (NLS) equation, short pulse (SP) equation and complex short pulse (CSP) equation have important applications in nonlinear optics. They can be derived from the Maxwell equation. In this talk, we will address some topics on the CSP equation. We will report our results for a coupled focusing-defocusing CSP equation. The bright-bright, bright-dark and dark-dark soliton, breather, and rogue wave solutions of the coupled focusing-defocusing CSP equation will be discussed. This talk is based on the joint work with B. F. Feng, L. M. Ling and J. Yang.