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New solutions of fractional Drinfeld-Sokolov-Wilson system in shallow water waves

Ocean Engineering · Ağustos 2018

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New solutions of fractional Drinfeld-Sokolov-Wilson system in shallow water waves
Ocean Engineering · 2018 SCI
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Makale Bilgileri

DergiOcean Engineering
Yayın TarihiAğustos 2018
Cilt / Sayfa161 · 62-68
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.

Yazarlar (4)

1
Orkun Tasbozan
2
Mehmet Şenol
3
Ali Kurt
4
Ozan Ozkan

Anahtar Kelimeler

Conformable fractional derivative Fractional Drinfeld-Sokolov-Wilson system Perturbation iteration algorithm Shallow water waves Sine-Gordon expansion method

Kurumlar

Mustafa Kemal Üniversitesi
Antakya Turkey
Nevşehir Haci Bektaş Veli Üniversitesi
Nevsehir Turkey
Selçuk Üniversitesi
Selçuklu Turkey

Metrikler

57
Atıf
4
Yazar
5
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