Complex Soliton Solutions to the Gilson–Pickering Model

In this paper, an analytical method based on the Bernoulli differential equation for extracting new complex soliton solutions to the Gilson⁻Pickering model is applied. A set of new complex soliton solutions to the Gilson⁻Pickering model are successfully constructed. In addition,...

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Main Author: Haci Mehmet Baskonus
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/8/1/18
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spelling doaj-0e00147ca280433eb6b5c04417087b502020-11-25T01:32:50ZengMDPI AGAxioms2075-16802019-02-01811810.3390/axioms8010018axioms8010018Complex Soliton Solutions to the Gilson–Pickering ModelHaci Mehmet Baskonus0Department of Mathematics and Science Education, Faculty of Education, Harran University, Sanliurfa 63190, TurkeyIn this paper, an analytical method based on the Bernoulli differential equation for extracting new complex soliton solutions to the Gilson⁻Pickering model is applied. A set of new complex soliton solutions to the Gilson⁻Pickering model are successfully constructed. In addition, 2D and 3D graphs and contour simulations to the complex soliton solutions are plotted with the help of computational programs. Finally, at the end of the manuscript a conclusion about new complex soliton solutions is given.https://www.mdpi.com/2075-1680/8/1/18Gilson–Pickering equationBernoulli sub-equation function methodcomplex solutionscontour surfaces
collection DOAJ
language English
format Article
sources DOAJ
author Haci Mehmet Baskonus
spellingShingle Haci Mehmet Baskonus
Complex Soliton Solutions to the Gilson–Pickering Model
Axioms
Gilson–Pickering equation
Bernoulli sub-equation function method
complex solutions
contour surfaces
author_facet Haci Mehmet Baskonus
author_sort Haci Mehmet Baskonus
title Complex Soliton Solutions to the Gilson–Pickering Model
title_short Complex Soliton Solutions to the Gilson–Pickering Model
title_full Complex Soliton Solutions to the Gilson–Pickering Model
title_fullStr Complex Soliton Solutions to the Gilson–Pickering Model
title_full_unstemmed Complex Soliton Solutions to the Gilson–Pickering Model
title_sort complex soliton solutions to the gilson–pickering model
publisher MDPI AG
series Axioms
issn 2075-1680
publishDate 2019-02-01
description In this paper, an analytical method based on the Bernoulli differential equation for extracting new complex soliton solutions to the Gilson⁻Pickering model is applied. A set of new complex soliton solutions to the Gilson⁻Pickering model are successfully constructed. In addition, 2D and 3D graphs and contour simulations to the complex soliton solutions are plotted with the help of computational programs. Finally, at the end of the manuscript a conclusion about new complex soliton solutions is given.
topic Gilson–Pickering equation
Bernoulli sub-equation function method
complex solutions
contour surfaces
url https://www.mdpi.com/2075-1680/8/1/18
work_keys_str_mv AT hacimehmetbaskonus complexsolitonsolutionstothegilsonpickeringmodel
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