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Dark solitons for a generalized nonlinear Schrödinger equation with parabolic law and dual‐power law nonlinearities
Author(s) -
Triki Houria,
Biswas Anjan
Publication year - 2011
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.1414
Subject(s) - ansatz , mathematics , soliton , nonlinear system , envelope (radar) , law , power law , nonlinear schrödinger equation , mathematical analysis , schrödinger's cat , power (physics) , mathematical physics , schrödinger equation , physics , quantum mechanics , statistics , political science , telecommunications , radar , computer science
The dynamics of dark solitons is studied within the framework of a generalized nonlinear Schrödinger equation. The specific cases of parabolic law and dual‐power law nonlinearity are considered. The solitary wave ansatz method is used to carry out the integration. All the physical parameters in the soliton solutions are obtained as functions of the dependent model coefficients. Parametric conditions for the existence of envelope solitons are given. Copyright © 2011 John Wiley & Sons, Ltd.