2014/07/31 by K. Manikandan, Paulsamy Muruganandam, P. Muruganandam +2 · 1 citation
Chemistry · Physics and Astronomy · #Bose–Einstein condensate #Breather #Chemistry #Cold Atom Physics and Bose-Einstein Condensates #Matrix similarity #Matter wave #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Order (exchange) #Partial differential equation #Physics #Quantum #Quantum mechanics #Rogue wave #Transformation (genetics) #Trap (plumbing) #cond-mat.quant-gas #nlin.PS #nlin.SI
paper · pdf · doi:10.1103/physreve.90.062905
published as Phys. Rev. E 90, 062905 (2014) · 17 pages, 17 figures, revised version, accepted for publication in Phys. Rev. E
arxiv created 2014/11/21 · openalex publication_date 2014/12/02 · arxiv updated 2014/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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: (i) the 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 we also show that the shapes of the breathers change when we tune the strength of the trap parameter. Our results may help to manage rogue waves experimentally in a BEC system.