THERMAL SCIENCE

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Bo Xu

,

Sheng Zhang

EXACT SOLUTIONS WITH ARBITRARY FUNCTIONS OF THE (4+1)-DIMENSIONAL FOKAS EQUATION

ABSTRACT
In this paper, the (4+1)-dimensional Fokas equation is solved by the generalized F-expansion method, and new exact solutions with arbitrary functions are obtained. The obtained solutions include Jacobi elliptic function solutions, hyperbolic function solutions and trigonometric function solutions. It is shown that the generalized F-expansion method can be used for constructing exact solutions with arbitrary functions of some other high dimensional partial differential equations in fluids.
KEYWORDS
(4+1)-dimensional Fokas equation, generalized F-expansion method, Jacobi elliptic function solution, hyperbolic function solution, trigonometric function solution
PAPER SUBMITTED: 2018-04-25
PAPER REVISED: 2018-06-23
PAPER ACCEPTED: 2019-08-01
PUBLISHED ONLINE: 2019-09-14
DOI REFERENCE: https://doi.org/10.2298/TSCI1904403X
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 4, PAGES [2403 - 2411]
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Exact solutions with arbitrary functions of the (4+1)-dimensional fokas equation

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence