Pair-Tunneling Induced Localized Waves in a Vector Nonlinear Schr\"{o}dinger Equation
Pattern Formation and Solitons
2013-09-30 v1 Quantum Gases
Abstract
We investigate the localized waves of the coupled two-mode nonlinear Schr\"{o}dinger 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.
Cite
@article{arxiv.1309.7124,
title = {Pair-Tunneling Induced Localized Waves in a Vector Nonlinear Schr\"{o}dinger Equation},
author = {Li-Chen Zhao and Liming Ling and Zhan-Ying Yang and Jie Liu},
journal= {arXiv preprint arXiv:1309.7124},
year = {2013}
}
Comments
5 pages, 6 figures