2007/04/30 by E. V. Doktorov, Evgeny V. Doktorov, Vassilis M. Rothos +1 · 1 citation
Mathematics · Physics and Astronomy · #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Exponential function #Homoclinic orbit #Instability #Integrable system #Mathematical analysis #Mathematical physics #Mathematics #Modulational instability #Nonlinear Photonic Systems #Nonlinear system #Physics #Quantum electrodynamics #Quantum mechanics #Spinor #Strong Light-Matter Interactions #cond-mat.other #nlin.SI
paper · pdf · doi:10.1103/physreva.76.013626
published as Physical Review A 76, 013626 (2007) · 6 pages, 2 figures, text slightly extended, a reference added
openalex publication_date 2007/07/27 · arxiv created 2007/08/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We describe the full-time dynamics of modulational instability in F=1 spinor Bose-Einstein condensates for the case of the integrable three-component model associated with the matrix nonlinear Schr"odinger equation. We obtain an exact homoclinic solution of this model by employing the dressing method which we generalize to the case of the higher-rank projectors. This homoclinic solution describes the development of modulational instability beyond the linear regime, and we show that the modulational instability demonstrates the reversal property when the growth of the modulated amplitude is changed by its exponential decay.