Soliton molecules and dynamics of the smooth positon for the Gerdjikov–Ivanov equation?

• 作者: Biao Li Xiangyu Yang Zhao Zhang
• 来源期刊: 中国物理B（英文版）
• 年，卷（期）: 2020,（10）
• 所属期刊栏目: GENERAL
• 页码范围: 213-219
• 页数: 7页
• 语种: 英文
• DOI: 10.1088/1674-1056/ab9de0

摘要

Soliton molecules are firstly obtained by velocity resonance for the Gerdjikov–Ivanov equation, and n-order smooth positon solutions for the Gerdjikov–Ivanov equation are generated by means of the general determinant expression of n-soliton solution. The dynamics of the smooth positons of the Gerdjikov–Ivanov equation are discussed using the decom-position of the modulus square, the trajectories and time-dependent "phase shifts" of positons after the collision can be described approximately. Additionally, some novel hybrid solutions consisting solitons and positons are presented and their rather complicated dynamics are revealed.