Formation mechanism of asymmetric breather and rogue waves in pair-transition-coupled nonlinear Schr?dinger equations

• 来源期刊: 中国物理B（英文版）
• 关键词: Akhmediev breather solution Kuznetsov–Ma breather solution rogue wave nonuniform ex-change
• 年，卷（期）: 2019,（1）
• 页码范围: 309-316
• 页数: 8页
• 语种: 英文
• DOI: 10.1088/1674-1056/28/1/010504

摘要

Based on the developed Darboux transformation, we investigate the exact asymmetric solutions of breather and rogue waves in pair-transition-coupled nonlinear Schr?dinger equations. As an example, some types of exact breather solutions are given analytically by adjusting the parameters. Moreover, the interesting fundamental problem is to clarify the formation mechanism of asymmetry breather solutions and how the particle number and energy exchange between the background and soliton ultimately form the breather solutions. Our results also show that the formation mechanism from breather to rogue wave arises from the transformation from the periodic total exchange into the temporal local property.