Pair-tunneling induced localized waves in a vector nonlinear Schrödinger equation

摘要

We investigate the localized waves of the coupled two-mode nonlinearSchr"{o}dinger equations with a pair-tunneling term representing stronglyinteracting particles can tunnel between the modes as a fragmented pair.Facilitated by Darboux transformation, we have derived exact solution ofnonlinear vector waves such as bright solitons, Kuznetsov-Ma soliton, Akhmedievbreathers and rogue waves and demonstrated their interesting temporal-spatialstructures. The phase diagram that demarcates the parameter ranges of thenonlinear waves is obtained. Our results have implications in such diverse fields as Bose-Einsteincondensate, nonlinear fibers and super fluids.