New solutions of fractional Drinfeld-Sokolov-Wilson system in shallow water waves
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
PERGAMON-ELSEVIER SCIENCE LTD
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we present new exact solution sets of nonlinear conformable time-fractional coupled Drinfeld-Sokolov-Wilson equation which arise in shallow water flow models, when special assumptions are used to simplify the shallow water equations by means of Sine-Gordon expansion method. We also present an analytical approximate method namely perturbation-iteration algorithm (PIA) for the system. Basic definitions of fractional derivatives are described in the conformable sense. An example is given and the results are compared to exact solutions. The results show that the presented methods are powerful, reliable, simple to use and ready to apply to wide range of fractional partial differential equations.
Açıklama
Anahtar Kelimeler
Fractional Drinfeld-Sokolov-Wilson system, Shallow water waves, Conformable fractional derivative, Perturbation iteration algorithm, Sine -Gordon expansion method
Kaynak
OCEAN ENGINEERING
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
161
