New Exact Traveling Wave Solutions of Fractional Time Coupled Nerve Fibers via Two New Approaches

New Exact Traveling Wave Solutions of Fractional Time Coupled Nerve Fibers via Two New Approaches

In this paper, we obtain new soliton solutions of one of the most important equations in biology (fractional time coupled nerve fibers) using two algorithm schemes, namely, exp−ψξ expansion function method and θ′ξ/θ2ξ expansion methods. The equation and the solution methods have free parameters whic...

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Main Author: Saud Owyed
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/6648818
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spelling doaj-6b614faf4a9e4ca491d8365bba98aa952021-02-15T12:53:04ZengHindawi LimitedJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66488186648818New Exact Traveling Wave Solutions of Fractional Time Coupled Nerve Fibers via Two New ApproachesSaud Owyed0Department of Mathematics, College of Sciences, University of Bisha, P.O. Box 344, Bisha 61922, Saudi ArabiaIn this paper, we obtain new soliton solutions of one of the most important equations in biology (fractional time coupled nerve fibers) using two algorithm schemes, namely, exp−ψξ expansion function method and θ′ξ/θ2ξ expansion methods. The equation and the solution methods have free parameters which help to make the obtained solutions are dynamics and more readable for dealing with fractional parameter and the initial and boundary value problem. As a result, various new exact soliton solutions for the considered model are derived which include the hyperbolic, rational, and trigonometric functions, and other solutions are obtained. In addition, the obtained results proved that the used methods give better performance compared with existing methods in the literature.http://dx.doi.org/10.1155/2021/6648818
collection DOAJ
language English
format Article
sources DOAJ
author Saud Owyed
spellingShingle Saud Owyed
New Exact Traveling Wave Solutions of Fractional Time Coupled Nerve Fibers via Two New Approaches
Journal of Mathematics
author_facet Saud Owyed
author_sort Saud Owyed
title New Exact Traveling Wave Solutions of Fractional Time Coupled Nerve Fibers via Two New Approaches
title_short New Exact Traveling Wave Solutions of Fractional Time Coupled Nerve Fibers via Two New Approaches
title_full New Exact Traveling Wave Solutions of Fractional Time Coupled Nerve Fibers via Two New Approaches
title_fullStr New Exact Traveling Wave Solutions of Fractional Time Coupled Nerve Fibers via Two New Approaches
title_full_unstemmed New Exact Traveling Wave Solutions of Fractional Time Coupled Nerve Fibers via Two New Approaches
title_sort new exact traveling wave solutions of fractional time coupled nerve fibers via two new approaches
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4629
2314-4785
publishDate 2021-01-01
description In this paper, we obtain new soliton solutions of one of the most important equations in biology (fractional time coupled nerve fibers) using two algorithm schemes, namely, exp−ψξ expansion function method and θ′ξ/θ2ξ expansion methods. The equation and the solution methods have free parameters which help to make the obtained solutions are dynamics and more readable for dealing with fractional parameter and the initial and boundary value problem. As a result, various new exact soliton solutions for the considered model are derived which include the hyperbolic, rational, and trigonometric functions, and other solutions are obtained. In addition, the obtained results proved that the used methods give better performance compared with existing methods in the literature.
url http://dx.doi.org/10.1155/2021/6648818
work_keys_str_mv AT saudowyed newexacttravelingwavesolutionsoffractionaltimecouplednervefibersviatwonewapproaches
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