Pair-Tunneling Induced Localized Waves in a Vector Nonlinear Schrödinger Equation

2013/09/27 by Li-Chen Zhao, Zhao, Li-Chen, Liming Ling +5
Engineering · Physics and Astronomy · #Advanced Fiber Laser Technologies #FOS: Physical sciences #Nonlinear Photonic Systems #Pattern Formation and Solitons (nlin.PS) #Photonic Crystal and Fiber Optics #Quantum Gases (cond-mat.quant-gas) #cond-mat.quant-gas #nlin.PS

paper · pdf · doi:10.48550/arxiv.1309.7124

5 pages, 6 figures

arxiv created 2013/09/27 · openalex publication_date 2013/09/27 · arxiv updated 2013/09/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We investigate the localized waves of the coupled two-mode nonlinear Schrödinger equations with a pair-tunneling term representing strongly interacting particles can tunnel between the modes as a fragmented pair. Facilitated by Darboux transformation, we have derived exact solution of nonlinear vector waves such as bright solitons, Kuznetsov-Ma soliton, Akhmediev breathers and rogue waves and demonstrated their interesting temporal-spatial structures. The phase diagram that demarcates the parameter ranges of the nonlinear waves is obtained. Our results have implications in such diverse fields as Bose-Einstein condensate, nonlinear fibers and super fluids.

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