2017/11/02 by Tao Xu, Yong Chen, Xu, Tao +1
Physics and Astronomy · #Advanced Fiber Laser Technologies #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.1711.00664
openalex publication_date 2017/11/02 · openalex created_date 2017/11/10 · openalex updated_date 2026/07/28
The Darboux transformation of the three-component coupled derivative nonlinear Schrödinger equations is constructed, based on the special vector solution elaborately generated from the corresponding Lax pair, various interactions of localized waves are derived. Here, we focus on the higher-order interactional solutions among higher-order rogue waves (RWs), multi-soliton and multi-breather. Instead of considering various arrangements among the three components q1, q2 and q3, we define the same combination as the same type solution. Based on our method, these interactional solutions are completely classified into six types among these three components q1, q2 and q3. In these six types interactional solutions, there are four mixed interactions of localized waves in three different components. In particular, the free parameters α and β paly an important role in dynamics structures of the interactional solutions, for example, different nonlinear localized waves merge with each other by increasing the absolute values of α and β.