Manipulating matter-rogue waves and breathers in Bose-Einstein condensates

TL;DR

This paper constructs higher order rogue wave and breather solutions for the Gross-Pitaevskii equation in Bose-Einstein condensates with various trap configurations, showing how trap parameters influence wave profiles.

Contribution

It introduces a method to generate and analyze rogue wave and breather solutions in BECs with time-dependent traps, revealing how trap parameters affect wave transformations.

Findings

Rogue waves transform into first-order-like waves when trap parameters change.

Breather shapes vary with trap strength tuning.

Results may aid experimental management of rogue waves in BECs.

Abstract

We construct higher order rogue wave solutions and breather profiles for the quasi-one-dimensional Gross-Pitaevskii equation with a time-dependent interatomic interaction and external trap through the similarity transformation technique. We consider three different forms of traps, namely (i) time-independent expulsive trap, (ii) time-dependent monotonous trap and (iii) time-dependent periodic trap. Our results show that when we change a parameter appearing in the time-independent or time-dependent trap the second and third-order rogue waves transform into the first-order like rogue waves. We also analyze the density profiles of breather solutions. Here also we show that the shapes of the breathers change when we tune the strength of trap parameter. Our results may help to manage rogue waves experimentally in a BEC system.