New Solutions of the Fractional Boussinesq-like Equations by Means of Conformable Derivatives

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Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS

Erişim Hakkı

info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivs 3.0 United States

Özet

In this paper, the process of the extended direct algebraic method (EDAM) is used to solve two fractional Boussinesq-like equations by means of conformable derivatives. Firstly, these fractional equations are changed into the ordinary differential equations by using the traveling wave transformation. Then new solutions are obtained by using EDAM. This dynamical model plays a key role in engineering and physics. The constructed solitons solution help researchers in understanding the physical phenomenon of this equation. The standard linear stability analysis is utilized and the stability of the model is investigated which substantiate that all results are stable and exact. Graphically, the movements of some solutions are depicted at appropriate values of parameters. The achieved results show simplicity, reliability, and power of the current schemes.

Açıklama

Anahtar Kelimeler

Boussinesq-like equations, Conformable derivative, The extended direct algebraic method, 1ST INTEGRAL METHOD, LUMP SOLUTIONS, SOLITONS

Kaynak

RESULTS IN PHYSICS

WoS Q Değeri

Q1

Scopus Q Değeri

Q2

Cilt

13

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