Traveling wave solutions for (3+1) dimensional conformable fractional Zakharov-Kuznetsov equation with power law nonlinearity

In this work, we consider the (3+1) dimensional conformable fractional Zakharov-Kuznetsov equation with power law nonlinearity. Solitary wave solutions, soliton wave solutions, elliptic wave solutions, and periodic (hyperbolic) wave rational solutions are obtained by means of the unified method. The...

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Published inNonlinear engineering Vol. 8; no. 1; pp. 559 - 567
Main Authors Osman, M.S., Rezazadeh, Hadi, Eslami, Mostafa
Format Journal Article
LanguageEnglish
Published Berlin De Gruyter 01.01.2019
Walter de Gruyter GmbH
Subjects
Conformable fractional derivative
Mathematical analysis
Nonlinear equations
Nonlinearity
Power law
Power law nonlinearity
Solitary waves
The unified method
Traveling wave solutions
Traveling waves
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Summary:In this work, we consider the (3+1) dimensional conformable fractional Zakharov-Kuznetsov equation with power law nonlinearity. Solitary wave solutions, soliton wave solutions, elliptic wave solutions, and periodic (hyperbolic) wave rational solutions are obtained by means of the unified method. The solutions showed that this method provides us with a powerful mathematical tool for solving nonlinear conformable fractional evolution equations in various fields of applied sciences.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2192-8010
2192-8029
DOI:10.1515/nleng-2018-0163