Controlled self-similar matter waves in PT-symmetric waveguide
arXiv:2005.07957 · doi:10.1016/j.physleta.2020.126574
Abstract
We study the dynamics of Bose-Einstein condensate coupled to a waveguide with parity-time symmetric potential in the presence of quadratic-cubic nonlinearity modelled by Gross-Pitaevskii equation with external source. We employ the self-similar technique to obtain matter wave solutions, such as bright, kinktype, rational dark and Lorentzian-type self-similar waves for this model. The dynamical behavior of self-similar matter waves can be controlled through variation of trapping potential, external source and nature of nonlinearities present in the system.
17 pages, 18 figures, Accepted in Physics Letters A