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Exact soliton solution for the fourth‐order nonlinear Schrödinger equation with generalized cubic‐quintic nonlinearity
Author(s) -
Wang Ying,
Li Shaohong,
Guo Jiyuan,
Zhou Yu,
Zhou Qingchun,
Zhou Shuyu,
Zhang Yongsheng
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4010
Subject(s) - quintic function , nonlinear schrödinger equation , nonlinear system , mathematics , soliton , parameterized complexity , split step method , mathematical analysis , order (exchange) , schrödinger equation , mathematical physics , physics , partial differential equation , quantum mechanics , finance , combinatorics , economics
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.