Exact solutions for the third-order dispersive-Fisher equations
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Dosyalar
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, we reveal the exact solutions of the third-order semilinear and nonlinear dispersive equations containing Fisher-like nonlinearity, i.e. dispersion-reaction models, which can be used in physical and engineering applications, such as fibre optics, communication theory and transport in porous media. The variants of auxiliary equation method, which are based on Mathieu, Bernoulli and classical Riccati equations, are used for these equations. Obtained solutions are discussed and illustrated in details. Although studies on the third-order equations have been intriguing for many years, the proposed equations were not studied in the literature. We believe that the proposed results will be key part of further analytical and numerical studies for waves in the dispersive medium with reaction.
Açıklama
Anahtar Kelimeler
Auxiliary equation method, Bernoulli equation, Mathieu equation, Tanh-method, Third-order equation, Travelling wave solutions, Traveling-Wave Solutions, Auxiliary Equation, Rational Solutions, Soliton-Solutions
Kaynak
Nonlinear Dynamics
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
91
Sayı
1
