Amplification of matter rogue waves and breathers in quasi-two-dimensional Bose-Einstein condensates

TL;DR

This paper derives rogue wave and breather solutions for a quasi-two-dimensional Bose-Einstein condensate model with variable interactions and external trapping, exploring how parameters influence wave profiles and potential experimental manipulation.

Contribution

It introduces new analytical solutions for rogue waves and breathers in a quasi-2D BEC model with variable parameters, and analyzes their dependence on functional parameters and external traps.

Findings

Density profiles vary with functional parameters

Solutions can be manipulated via trap and interaction parameters

Vector localized solutions modify background density

Abstract

We construct rogue wave and breather solutions of a quasi-two-dimensional Gross-Pitaevskii equation with a time-dependent interatomic interaction and external trap. We show that the trapping potential and an arbitrary functional parameter that present in the similarity transformation should satisfy a constraint for the considered equation to be integrable and yield the desired solutions. We consider two different forms of functional parameters and investigate how the density of the rogue wave and breather profiles vary with respect to these functional parameters. We also construct vector localized solutions of a two coupled quasi-two-dimensional Bose-Einstein condensate system. We then investigate how the vector localized density profiles modify in the constant density background with respect to the functional parameters. Our results may help to manipulate matter rogue waves experimentally in the two-dimensional Bose-Einstein condensate systems.