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

摘要

We investigate localized waves of coupled two-mode nonlinear Schrodinger 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 temporalspatial structures. A phase diagram that demarcates the parameter ranges of the nonlinear waves is obtained. Possibilities to observe these localized waves are discussed in a two species Bose-Einstein condensate. (C) 2014 Elsevier B.V. All rights reserved.