Soliton, Breather and Rogue Wave Solutions for the Nonlinear Schr(o)dinger Equation Coupled to a Multiple Self-Induced Transparency System

• 来源期刊: 中国物理快报（英文版）
• 关键词: @@
• 年，卷（期）: 2018,（3）
• 页码范围: 1-4
• 页数: 4页
• 语种: 英文
• DOI: 10.1088/0256-307X/35/3/030201

摘要

We derive an N-fold Darboux transformation for the nonlinear Schr(o)dinger 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.