研究目的
To investigate the analytic vector breather and high-order rogue wave solutions for the coupled nonlinear Schr?dinger (NLS) equations with alternate signs of nonlinearities via Darboux dressing transformation and to discuss the existence condition for the rogue waves.
研究成果
The study successfully derived breather and high-order rogue wave solutions for the coupled NLS equations with alternate signs of nonlinearities using Darboux dressing transformation. It was found that rogue wave solutions exist if the baseband modulation instability is present. The research contributes to the understanding of rogue waves in nonlinear systems and suggests potential applications in other fields.
研究不足
The study is limited to the coupled NLS equations with alternate signs of nonlinearities and does not explore other types of nonlinear systems. The existence of rogue wave solutions is contingent upon the presence of baseband modulation instability.
