New exact solutions for generalized Gardner equation

In this research, we seek exact solutions of generalized Gardner equation. We make use of extended trial equationmethod to attain exact solutions of generalized Gardner equation. Firstly, we find some exact solutions such as soliton solutions, rational, Jacobi elliptic and hyperbolic function solut...

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Main Authors: Seyma T. Demiray, Hasan Bulut
Format: Article
Language:English
Published: Elsevier 2017-01-01
Series:Kuwait Journal of Science
Subjects:
Online Access:https://journalskuwait.org/kjs/index.php/KJS/article/view/1403
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author Seyma T. Demiray
Hasan Bulut
author_facet Seyma T. Demiray
Hasan Bulut
author_sort Seyma T. Demiray
collection DOAJ
description In this research, we seek exact solutions of generalized Gardner equation. We make use of extended trial equationmethod to attain exact solutions of generalized Gardner equation. Firstly, we find some exact solutions such as soliton solutions, rational, Jacobi elliptic and hyperbolic function solutions of generalized Gardner equation by the help of extended trial equation method. Then, for some parameters, we draw two and three dimensional graphics of imaginary and real values of some exact solutions that we acquired by using this method.
format Article
id doaj-art-0d030d68f6a14657917d8fda8b084fcd
institution OA Journals
issn 2307-4108
2307-4116
language English
publishDate 2017-01-01
publisher Elsevier
record_format Article
series Kuwait Journal of Science
spelling doaj-art-0d030d68f6a14657917d8fda8b084fcd2025-08-20T02:03:38ZengElsevierKuwait Journal of Science2307-41082307-41162017-01-01441New exact solutions for generalized Gardner equationSeyma T. Demiray0Hasan BulutFirat University, Department of Mathematics, Elazig, TURKEY In this research, we seek exact solutions of generalized Gardner equation. We make use of extended trial equationmethod to attain exact solutions of generalized Gardner equation. Firstly, we find some exact solutions such as soliton solutions, rational, Jacobi elliptic and hyperbolic function solutions of generalized Gardner equation by the help of extended trial equation method. Then, for some parameters, we draw two and three dimensional graphics of imaginary and real values of some exact solutions that we acquired by using this method. https://journalskuwait.org/kjs/index.php/KJS/article/view/1403Generalized Gardner equationextended trial equation methodsoliton solutionsrationalJacobi elliptic and hyperbolic function solutions.
spellingShingle Seyma T. Demiray
Hasan Bulut
New exact solutions for generalized Gardner equation
Kuwait Journal of Science
Generalized Gardner equation
extended trial equation method
soliton solutions
rational
Jacobi elliptic and hyperbolic function solutions.
title New exact solutions for generalized Gardner equation
title_full New exact solutions for generalized Gardner equation
title_fullStr New exact solutions for generalized Gardner equation
title_full_unstemmed New exact solutions for generalized Gardner equation
title_short New exact solutions for generalized Gardner equation
title_sort new exact solutions for generalized gardner equation
topic Generalized Gardner equation
extended trial equation method
soliton solutions
rational
Jacobi elliptic and hyperbolic function solutions.
url https://journalskuwait.org/kjs/index.php/KJS/article/view/1403
work_keys_str_mv AT seymatdemiray newexactsolutionsforgeneralizedgardnerequation
AT hasanbulut newexactsolutionsforgeneralizedgardnerequation