Abstract
The analytical matter rogue wave solutions are reported for the coupled Gross–Pitaevskii equation by using the similarity transformation and Darboux transformation. We study the effect of the time-dependent linear and quadratic potentials (flying-bird potential) on the profiles and dynamics of non-autonomous rogue wave solution. A non-autonomous rogue wave and bright-dark rogue wave solutions are constructed and exhibited. The managements of external potential and the dynamic behaviors of the rogue wave solutions are investigated analytically. We present the general approach and use it to calculate non-autonomous rogue wave solutions and consider the potential applications for the rogue wave phenomena.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
