The New Solitary Solutions to the Time-Fractional Coupled Jaulent–Miodek Equation

Here, two applicable methods, namely, the tanθ/2-expansion technique and modified exp−θξ-expansion technique are being applied on the time-fractional coupled Jaulent–Miodek equation. Materials such as photovoltaic-photorefractive, polymer, and organic contain spatial solitons and optical nonlinearit...

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Autores principales:	Guiping Shen, Jalil Manafian, Syed Maqsood Zia, Dinh Tran Ngoc Huy, Trung-Hieu Le
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/17baa6399173451295e1a36b43126542
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spelling	oai:doaj.org-article:17baa6399173451295e1a36b431265422021-11-22T01:11:25ZThe New Solitary Solutions to the Time-Fractional Coupled Jaulent–Miodek Equation1607-887X10.1155/2021/2429334https://doaj.org/article/17baa6399173451295e1a36b431265422021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/2429334https://doaj.org/toc/1607-887XHere, two applicable methods, namely, the tanθ/2-expansion technique and modified exp−θξ-expansion technique are being applied on the time-fractional coupled Jaulent–Miodek equation. Materials such as photovoltaic-photorefractive, polymer, and organic contain spatial solitons and optical nonlinearities, which can be identified by seeking from energy-dependent Schrödinger potential. Plentiful exact traveling wave solutions containing unknown values are constructed in the sense of trigonometric, hyperbolic, exponential, and rational functions. Different arbitrary constants acquired in the solutions help us to discuss the dynamical behavior of solutions. Moreover, the graphical representation of solutions is shown vigorously in order to visualize the behavior of the solutions acquired for the mentioned equation. We obtain some periodic, dark soliton, and singular-kink wave solutions which have considerably fortified the existing literature on the time-fractional coupled Jaulent–Miodek equation. Via three-dimensional plot, density plot, and two-dimensional plot by utilizing Maple software, the physical properties of these waves are explained very well.Guiping ShenJalil ManafianSyed Maqsood ZiaDinh Tran Ngoc HuyTrung-Hieu LeHindawi LimitedarticleMathematicsQA1-939ENDiscrete Dynamics in Nature and Society, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Guiping Shen Jalil Manafian Syed Maqsood Zia Dinh Tran Ngoc Huy Trung-Hieu Le The New Solitary Solutions to the Time-Fractional Coupled Jaulent–Miodek Equation
description	Here, two applicable methods, namely, the tanθ/2-expansion technique and modified exp−θξ-expansion technique are being applied on the time-fractional coupled Jaulent–Miodek equation. Materials such as photovoltaic-photorefractive, polymer, and organic contain spatial solitons and optical nonlinearities, which can be identified by seeking from energy-dependent Schrödinger potential. Plentiful exact traveling wave solutions containing unknown values are constructed in the sense of trigonometric, hyperbolic, exponential, and rational functions. Different arbitrary constants acquired in the solutions help us to discuss the dynamical behavior of solutions. Moreover, the graphical representation of solutions is shown vigorously in order to visualize the behavior of the solutions acquired for the mentioned equation. We obtain some periodic, dark soliton, and singular-kink wave solutions which have considerably fortified the existing literature on the time-fractional coupled Jaulent–Miodek equation. Via three-dimensional plot, density plot, and two-dimensional plot by utilizing Maple software, the physical properties of these waves are explained very well.
format	article
author	Guiping Shen Jalil Manafian Syed Maqsood Zia Dinh Tran Ngoc Huy Trung-Hieu Le
author_facet	Guiping Shen Jalil Manafian Syed Maqsood Zia Dinh Tran Ngoc Huy Trung-Hieu Le
author_sort	Guiping Shen
title	The New Solitary Solutions to the Time-Fractional Coupled Jaulent–Miodek Equation
title_short	The New Solitary Solutions to the Time-Fractional Coupled Jaulent–Miodek Equation
title_full	The New Solitary Solutions to the Time-Fractional Coupled Jaulent–Miodek Equation
title_fullStr	The New Solitary Solutions to the Time-Fractional Coupled Jaulent–Miodek Equation
title_full_unstemmed	The New Solitary Solutions to the Time-Fractional Coupled Jaulent–Miodek Equation
title_sort	new solitary solutions to the time-fractional coupled jaulent–miodek equation
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/17baa6399173451295e1a36b43126542
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The New Solitary Solutions to the Time-Fractional Coupled Jaulent–Miodek Equation

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