Classification of All Single Traveling Wave Solutions of (3+1)-Dimensional Jimbo-Miwa Equation with Space-Time Fractional Derivative

In this paper, the complete discrimination system method is used to construct the single traveling wave solutions for the (3+1)-dimensional Jimbo-Miwa equations with space-time fractional derivative. As a result, we get the exact traveling wave solutions of the (3+1)-dimensional Jimbo-Miwa equation...

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Main Authors: Tianyong Han, Zhao Li, Jiajin Wen, Jun Yuan
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2022/2466900
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author Tianyong Han
Zhao Li
Jiajin Wen
Jun Yuan
author_facet Tianyong Han
Zhao Li
Jiajin Wen
Jun Yuan
author_sort Tianyong Han
collection DOAJ
description In this paper, the complete discrimination system method is used to construct the single traveling wave solutions for the (3+1)-dimensional Jimbo-Miwa equations with space-time fractional derivative. As a result, we get the exact traveling wave solutions of the (3+1)-dimensional Jimbo-Miwa equation with space-time fractional derivative, which include rational function solutions, Jacobian elliptic function solutions, hyperbolic function solutions, and trigonometric function solutions. Some graphical representations of the solutions are also provided. Finally, the obtained solution is compared with the existing literature.
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institution Kabale University
issn 1687-9139
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Advances in Mathematical Physics
spelling doaj-art-baee25eab77d4f2589794f170c6569292025-02-03T01:23:15ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/2466900Classification of All Single Traveling Wave Solutions of (3+1)-Dimensional Jimbo-Miwa Equation with Space-Time Fractional DerivativeTianyong Han0Zhao Li1Jiajin Wen2Jun Yuan3College of Computer ScienceCollege of Computer ScienceCollege of Computer ScienceSchool of Information EngineeringIn this paper, the complete discrimination system method is used to construct the single traveling wave solutions for the (3+1)-dimensional Jimbo-Miwa equations with space-time fractional derivative. As a result, we get the exact traveling wave solutions of the (3+1)-dimensional Jimbo-Miwa equation with space-time fractional derivative, which include rational function solutions, Jacobian elliptic function solutions, hyperbolic function solutions, and trigonometric function solutions. Some graphical representations of the solutions are also provided. Finally, the obtained solution is compared with the existing literature.http://dx.doi.org/10.1155/2022/2466900
spellingShingle Tianyong Han
Zhao Li
Jiajin Wen
Jun Yuan
Classification of All Single Traveling Wave Solutions of (3+1)-Dimensional Jimbo-Miwa Equation with Space-Time Fractional Derivative
Advances in Mathematical Physics
title Classification of All Single Traveling Wave Solutions of (3+1)-Dimensional Jimbo-Miwa Equation with Space-Time Fractional Derivative
title_full Classification of All Single Traveling Wave Solutions of (3+1)-Dimensional Jimbo-Miwa Equation with Space-Time Fractional Derivative
title_fullStr Classification of All Single Traveling Wave Solutions of (3+1)-Dimensional Jimbo-Miwa Equation with Space-Time Fractional Derivative
title_full_unstemmed Classification of All Single Traveling Wave Solutions of (3+1)-Dimensional Jimbo-Miwa Equation with Space-Time Fractional Derivative
title_short Classification of All Single Traveling Wave Solutions of (3+1)-Dimensional Jimbo-Miwa Equation with Space-Time Fractional Derivative
title_sort classification of all single traveling wave solutions of 3 1 dimensional jimbo miwa equation with space time fractional derivative
url http://dx.doi.org/10.1155/2022/2466900
work_keys_str_mv AT tianyonghan classificationofallsingletravelingwavesolutionsof31dimensionaljimbomiwaequationwithspacetimefractionalderivative
AT zhaoli classificationofallsingletravelingwavesolutionsof31dimensionaljimbomiwaequationwithspacetimefractionalderivative
AT jiajinwen classificationofallsingletravelingwavesolutionsof31dimensionaljimbomiwaequationwithspacetimefractionalderivative
AT junyuan classificationofallsingletravelingwavesolutionsof31dimensionaljimbomiwaequationwithspacetimefractionalderivative