Soliton, Breather and Rogue Wave Solutions for the Nonlinear Schr?dinger Equation Coupled to a Multiple Self-Induced Transparency System
Xin Wang1,2**, Lei Wang3
1College of Science, Zhongyuan University of Technology, Zhengzhou 450007 2School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001 3School of Mathematics and Physics, North China Electric Power University, Beijing 102206
Abstract：We derive an $N$-fold Darboux transformation for the nonlinear Schrödinger equation coupled to a multiple self-induced transparency system, which is applicable to optical fiber communications in the erbium-doped medium. The $N$-soliton, $N$-breather and $N$th-order rogue wave solutions in the compact determinant representations are derived using the Darboux transformation and limit technique. Dynamics of such solutions from the first- to second-order ones are shown.
2018, Vol. 35 
