Eur. Phys. J. Special Topics 185, 169-180 (2010)
https://doi.org/10.1140/epjst/e2010-01247-6

Regular article

Vector rogue waves in binary mixtures of Bose-Einstein condensates

¹ Centro de Física, Universidade do Minho, Campus de Gualtar, Braga 4710-057, Portugal
² Centro de Física Teórica e Computacional, Universidade de Lisboa, Avenida Professor Gama Pinto 2, Lisboa 1649-003, Portugal
³ Departamento de Física, Universidade de Lisboa, Campo Grande, Edifício C8, Piso 6, Lisboa 1749-016, Portugal
⁴ Optical Sciences Group, Research School of Physics and Engineering, The Australian National University, Canberra ACT 0200, Australia

^a e-mail: bludov@fisica.uminho.pt
^b e-mail: konotop@cii.fc.ul.pt
^c e-mail: nna124@rsphymail.anu.edu.au

Abstract

We study numerically rogue waves in the two-component Bose-Einstein condensates which are described by the coupled set of two Gross-Pitaevskii equations with variable scattering lengths. We show that rogue wave solutions exist only for certain combinations of the nonlinear coefficients describing two-body interactions. We present the solutions for the combinations of these coefficients that admit the existence of rogue waves.