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

Controllable rogue waves on the Jacobi-periodic background for the higher-order nonlinear Schrodinger equation
Yunfei Yue
Chongqing Technology and Business University
Peoples Rep of China
Co-Author(s):    
Abstract:
In this talk, we have systematically studied rogue wave solutions on elliptic function backgrounds for the higher-order nonlinear Schrodinger equation. By utilizing the Darboux transformation and the nonlinearization method of Lax pairs, we have derived first and second-order rogue wave solutions on cn- and dn-periodic backgrounds. Their dynamical behavior have analyzed in detail and illustrated them through graphics.