The plethora of explicit solutions of the fractional KS equation through liquid–gas bubbles mix under the thermodynamic conditions via Atangana–Baleanu derivative operator

Autor:	Chen Yue, Mostafa M. A. Khater, Raghda A. M. Attia, Dianchen Lu
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Fractional nonlinear Kudryashov–Sinelshchikov (KS) equation ABR $\mathcal{ABR}$ fractional operator Modified Khater (mK) method Stability property Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-12 (2020)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-020-2540-3
Popis:	Abstract Novel explicit wave solutions are constructed for the Kudryashov–Sinelshchikov (KS) equation through liquid–gas bubbles mix under the thermodynamic conditions. A new fractional definition (Atangana–Baleanu derivative operator) is employed through the modified Khater method to get new wave solutions in distinct types of this model that is used to describe the phenomena of pressure waves through liquid–gas bubbles mix under the thermodynamic conditions. The stability property of the obtained solutions is tested to show the ability of our obtained solutions through the physical experiments. The novelty and advantage of the proposed method are illustrated by applying to this model. Some sketches are plotted to show more about the dynamical behavior of this model.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/db37240d2b25431393be2fd0d3ba4788 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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