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arXiv · 1309.7124

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

Li-Chen Zhao·Liming Ling·Zhan-Ying Yang·Jie Liu
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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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Li-Chen Zhao, Liming Ling, Zhan-Ying Yang, Jie Liu. 2013-09-27. Pair-Tunneling Induced Localized Waves in a Vector Nonlinear Schrödinger Equation. https://arxiv.org/abs/1309.7124

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