Manikandan K, Muruganandam P, Senthilvelan M, Lakshmanan M
Centre for Nonlinear Dynamics, Bharathidasan University, Tiruchirappalli 620024, Tamilnadu, India.
Department of Physics, Bharathidasan University, Tiruchirappalli 620024, Tamilnadu, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Dec;90(6):062905. doi: 10.1103/PhysRevE.90.062905. Epub 2014 Dec 2.
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.
