Novel Exact Solutions of the Extended Shallow Water Wave and the Fokas Equations

Novel Exact Solutions of the Extended Shallow Water Wave and the Fokas Equations

In this study, a Sine-Gordon expansion method for obtaining novel exact solutions of extended shallow water wave equation and Fokas equation is presented. All of the equations which are under consideration consist of three or four variable. In this method, first of all, partial differential equation...

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Main Authors: DURAN Serbay, KARAAGAC Berat, ESEN Alaattin
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:ITM Web of Conferences
Online Access:https://doi.org/10.1051/itmconf/20182201022
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spelling doaj-e9e4a27e63f94be8abc7a36f090a6e852021-04-02T09:10:11ZengEDP SciencesITM Web of Conferences2271-20972018-01-01220102210.1051/itmconf/20182201022itmconf_cmes2018_01022Novel Exact Solutions of the Extended Shallow Water Wave and the Fokas EquationsDURAN SerbayKARAAGAC BeratESEN AlaattinIn this study, a Sine-Gordon expansion method for obtaining novel exact solutions of extended shallow water wave equation and Fokas equation is presented. All of the equations which are under consideration consist of three or four variable. In this method, first of all, partial differential equations are reduced to ordinary differential equations by the help of variable change called as travelling wave transformation, then Sine Gordon expansion method allows us to obtain new exact solutions defined as in terms of hyperbolic trig functions of considered equations. The newly obtained results showed that the method is successful and applicable and can be extended to a wide class of nonlinear partial differential equations.https://doi.org/10.1051/itmconf/20182201022
collection DOAJ
language English
format Article
sources DOAJ
author DURAN Serbay
KARAAGAC Berat
ESEN Alaattin
spellingShingle DURAN Serbay
KARAAGAC Berat
ESEN Alaattin
Novel Exact Solutions of the Extended Shallow Water Wave and the Fokas Equations
ITM Web of Conferences
author_facet DURAN Serbay
KARAAGAC Berat
ESEN Alaattin
author_sort DURAN Serbay
title Novel Exact Solutions of the Extended Shallow Water Wave and the Fokas Equations
title_short Novel Exact Solutions of the Extended Shallow Water Wave and the Fokas Equations
title_full Novel Exact Solutions of the Extended Shallow Water Wave and the Fokas Equations
title_fullStr Novel Exact Solutions of the Extended Shallow Water Wave and the Fokas Equations
title_full_unstemmed Novel Exact Solutions of the Extended Shallow Water Wave and the Fokas Equations
title_sort novel exact solutions of the extended shallow water wave and the fokas equations
publisher EDP Sciences
series ITM Web of Conferences
issn 2271-2097
publishDate 2018-01-01
description In this study, a Sine-Gordon expansion method for obtaining novel exact solutions of extended shallow water wave equation and Fokas equation is presented. All of the equations which are under consideration consist of three or four variable. In this method, first of all, partial differential equations are reduced to ordinary differential equations by the help of variable change called as travelling wave transformation, then Sine Gordon expansion method allows us to obtain new exact solutions defined as in terms of hyperbolic trig functions of considered equations. The newly obtained results showed that the method is successful and applicable and can be extended to a wide class of nonlinear partial differential equations.
url https://doi.org/10.1051/itmconf/20182201022
work_keys_str_mv AT duranserbay novelexactsolutionsoftheextendedshallowwaterwaveandthefokasequations
AT karaagacberat novelexactsolutionsoftheextendedshallowwaterwaveandthefokasequations
AT esenalaattin novelexactsolutionsoftheextendedshallowwaterwaveandthefokasequations
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