New Wave Solutions of Time-Fractional Coupled Boussinesq-Whitham-Broer-Kaup Equation as A Model of Water Waves
Yükleniyor...
Dosyalar
Tarih
2019
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
China Ocean Press
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The main purpose of this paper is to obtain the wave solutions of conformable time fractional Boussinesq-Whitham-Broer-Kaup equation arising as a model of shallow water waves. For this aim, the authors employed auxiliary equation method which is based on a nonlinear ordinary differential equation. By using conformable wave transform and chain rule, a nonlinear fractional partial differential equation is converted to a nonlinear ordinary differential equation. This is a significant impact because neither Caputo definition nor Riemann-Liouville definition satisfies the chain rule. While the exact solutions of the fractional partial derivatives cannot be obtained due to the existing drawbacks of Caputo or Riemann-Liouville definitions, the reliable solutions can be achieved for the equations defined by conformable fractional derivatives.
Açıklama
Anahtar Kelimeler
time fractional coupled Boussinesq-Whitham-Broer-Kaup equation, conformable fractional derivative, auxiliary equation method
Kaynak
China Ocean Engineering
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
33
Sayı
4
