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Exact traveling wave solutions to the fourth‐order dispersive nonlinear Schrödinger equation with dual‐power law nonlinearity
Author(s) -
Salathiel Yakada,
Betchewe Gambo,
Doka Serge Yamigno,
Crepin Kofane Timoleon
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.3557
Subject(s) - breather , traveling wave , nonlinear system , nonlinear schrödinger equation , dual (grammatical number) , mathematics , order (exchange) , power (physics) , mathematical analysis , kondratiev wave , dispersive partial differential equation , power law , schrödinger equation , physics , quantum mechanics , mechanics , statistics , art , literature , finance , economics
In this paper, we investigate exact traveling wave solutions of the fourth‐order nonlinear Schrödinger equation with dual‐power law nonlinearity through Kudryashov method and (G'/G)‐expansion method. We obtain miscellaneous traveling waves including kink, antikink, and breather solutions. These solutions may be useful in the explanation and understanding of physical behavior of the wave propagation in a highly dispersive optical medium. Copyright © 2015 John Wiley & Sons, Ltd.