Vector rogue waves in binary mixtures of Bose-Einstein condensates
Centro de Física, Universidade do Minho, Campus de Gualtar,
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
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.
© EDP Sciences, Springer-Verlag, 2010