Exact solutions with arbitrary functions of the (4+1)-dimensional fokas equation

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...

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Main Authors: Xu Bo, Zhang Sheng
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2019-01-01
Series:Thermal Science
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2019/0354-98361904403X.pdf
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spelling doaj-7d0b6e94710c45cd82f74a9f99300b522021-01-02T10:07:43ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362019-01-012342403241110.2298/TSCI1904403X0354-98361904403XExact solutions with arbitrary functions of the (4+1)-dimensional fokas equationXu Bo0Zhang Sheng1School of Education and Sports, Bohai University, Jinzhou, Liaoning, China + Department of Mathematics, Hohhot Minzu College, Hohhot, ChinaSchool of Mathematics and Physics, Bohai University, Jinzhou, China + Department of Mathematics, Hohhot Minzu College, Hohhot, ChinaIn 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.http://www.doiserbia.nb.rs/img/doi/0354-9836/2019/0354-98361904403X.pdf(4+1)-dimensional fokas equationgeneralized f-expansion methodjacobi elliptic function solutionhyperbolic function solutiontrigonometric function solution
collection DOAJ
language English
format Article
sources DOAJ
author Xu Bo
Zhang Sheng
spellingShingle Xu Bo
Zhang Sheng
Exact solutions with arbitrary functions of the (4+1)-dimensional fokas equation
Thermal Science
(4+1)-dimensional fokas equation
generalized f-expansion method
jacobi elliptic function solution
hyperbolic function solution
trigonometric function solution
author_facet Xu Bo
Zhang Sheng
author_sort Xu Bo
title Exact solutions with arbitrary functions of the (4+1)-dimensional fokas equation
title_short Exact solutions with arbitrary functions of the (4+1)-dimensional fokas equation
title_full Exact solutions with arbitrary functions of the (4+1)-dimensional fokas equation
title_fullStr Exact solutions with arbitrary functions of the (4+1)-dimensional fokas equation
title_full_unstemmed Exact solutions with arbitrary functions of the (4+1)-dimensional fokas equation
title_sort exact solutions with arbitrary functions of the (4+1)-dimensional fokas equation
publisher VINCA Institute of Nuclear Sciences
series Thermal Science
issn 0354-9836
publishDate 2019-01-01
description 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.
topic (4+1)-dimensional fokas equation
generalized f-expansion method
jacobi elliptic function solution
hyperbolic function solution
trigonometric function solution
url http://www.doiserbia.nb.rs/img/doi/0354-9836/2019/0354-98361904403X.pdf
work_keys_str_mv AT xubo exactsolutionswitharbitraryfunctionsofthe41dimensionalfokasequation
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