Exact soliton-on-plane-wave solutions for two-component Bose-Einstein condensates.
By means of the Darboux transformation, we obtain analytical solutions for a soliton set on top of a plane-wave background in coupled Gross-Pitaevskii equations describing a binary Bose-Einstein condensate. We consider basic properties of the solutions with and without the cross interaction [cross phase modulation (XPM)] between the two components of the background. In the absence of the XPM, this solutions maintain properties of one-component condensates, such as the modulation instability (MI); in the presence of the cross interaction, the solutions exhibit different properties, such as restriction of the MI and soliton splitting.
Li
Lu
L
College of Physics and Electronics Engineering, Shanxi University, Taiyuan, 030006, China.
Malomed
Boris A
BA
Mihalache
Dumitru
D
Liu
W M
WM