Nonlinear waves in coherently coupled Bose-Einstein condensates

T. Congy, A. M. Kamchatnov, N. Pavloff

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


We consider a quasi-one-dimensional two-component Bose-Einstein condensate subject to a coherent coupling between its components, such as realized in spin-orbit coupled condensates. We study how nonlinearity modifies the dynamics of the elementary excitations. The spectrum has two branches, which are affected in different ways. The upper branch experiences a modulational instability, which is stabilized by a long-wave-short-wave resonance with the lower branch. The lower branch is stable. In the limit of weak nonlinearity and small dispersion it is described by a Korteweg-de Vries equation or by the Gardner equation, depending on the value of the parameters of the system.

Original languageEnglish
Article number043613
Number of pages20
JournalPhysical Review A
Issue number4
Publication statusPublished - 11 Apr 2016
Externally publishedYes


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