Exact traveling wave solutions to the fourth‐order dispersive nonlinear Schrödinger equation with dual‐power law nonlinearity

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...

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Published inMathematical methods in the applied sciences Vol. 39; no. 5; pp. 1135 - 1143
Main Authors Douvagai, Salathiel, Yakada, Betchewe, Gambo, Doka, Serge Yamigno, Crepin, Kofane Timoleon
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 01.04.2016
Subjects
(G'/G)‐expansion method
dual‐power law nonlinearity
Kudryashov method
Mathematical analysis
nonlinear Schrödinger equation
Nonlinearity
Schroedinger equation
soliton solutions
Traveling waves
Wave propagation
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Summary: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.
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ISSN:0170-4214
1099-1476
DOI:10.1002/mma.3557