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Exact soliton solution for the fourth‐order nonlinear Schrödinger equation with generalized cubic‐quintic nonlinearity
Authors:Ying Wang  Shaohong Li  Jiyuan Guo  Yu Zhou  Qingchun Zhou  Shuyu Zhou  Yongsheng Zhang
Institution:1. School of Mathematics and Physics, Jiangsu University of Science and Technology, Jiangsu, China;2. Key Laboratory for Quantum Optics, Shanghai Institute of Optics and Fine Mechanics, The Chinese Academy of Sciences, Shanghai, China;3. Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, China
Abstract:In this paper, we investigate the fourth‐order nonlinear Schrödinger equation with parameterized nonlinearity that is generalized from regular cubic‐quintic formulation in optics and ultracold physics scenario. We find the exact solution of the fourth‐order generalized cubic‐quintic nonlinear Schrödinger equation through modified F‐expansion method, identifying the particular bright soliton behavior under certain external experimental setting, with the system's particular nonlinear features demonstrated. Copyright © 2016 John Wiley & Sons, Ltd.
Keywords:fourth‐order nonlinear Schrö  dinger equation  F‐expansion method  soliton
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