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

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.

17 pages, 17 figures, revised version, accepted for publication in Phys. Rev. E

References in corpus (5)

• Atom Interferometers
• Capillary rogue waves
• C programs for solving the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap
• Nonlinearity Management in Optics: Experiment, Theory, and Simulation
• Interaction of dark-bright solitons in two-component Bose-Einstein condensates

Cited by in corpus (4)

• On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrödinger equations with distributed coefficients
• Dynamics of Rogue Wave Excitation Pattern on Stripe Phase Backgrounds in a Two-component Bose-Einstein Condensate
• Amplification of matter rogue waves and breathers in quasi-two-dimensional Bose-Einstein condensates
• An analysis of spatiotemporal localized solutions in the variable coefficients (3+1)-dimensional nonlinear Schrödinger equation with six different forms of dispersion parameters