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

Ocean Engineering · Ağustos 2018

YÖKSİS Kayıtları

Ocean Engineering · 2018 SCI

Prof. Dr. OZAN ÖZKAN →

YÖKSİS Kayıtları — ISSN Eşleşmesi

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

2018 ISSN: 0029-8018 SCI

Prof. Dr. OZAN ÖZKAN →

10.1016/j.oceaneng.2018.04.075

Makale Bilgileri

Dergi Ocean Engineering

ISSN00298018

Yayın TarihiAğustos 2018

Cilt / Sayfa161 · 62-68

DOI10.1016/j.oceaneng.2018.04.075

Scopus ID2-s2.0-85046687487

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)

Orkun Tasbozan

Mehmet Şenol

Ali Kurt

Ozan Ozkan

Anahtar Kelimeler

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