Exact Solutions of n+1 -Dimensional Space-Time Fractional Zakharov-Kuznetsov Equation
In this article, we study the n+1 -dimensional space time fractional Zakharov-Kuznetsov equation for calculating the exact solutions. For this purpose fractional derivative is used in the form of modified Riemann-Liouville derivatives. Complex fractional transformation is applied for transforming...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Hitit University
2018-09-01
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| Series: | Hittite Journal of Science and Engineering |
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| Online Access: | https://dergipark.org.tr/tr/download/article-file/1506645 |
| _version_ | 1827796203176198144 |
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| author | Muhammad Nasir Ali Syed Muhammad Husnine Sana Noor Adnan Tuna |
| author_facet | Muhammad Nasir Ali Syed Muhammad Husnine Sana Noor Adnan Tuna |
| author_sort | Muhammad Nasir Ali |
| collection | DOAJ |
| description | In this article, we study the n+1 -dimensional space time fractional Zakharov-Kuznetsov equation for calculating the exact solutions. For this purpose fractional derivative is used in the form of modified Riemann-Liouville derivatives. Complex fractional transformation is applied for transforming the nonlinear partial differential equation into another nonlinear ordinary differential equation. Exact solutions are obtained by using modified simple equation method and 1⁄G' -expansion method. Obtained solutions are new and may be of significant importance in the field of plasma physics to investigate the waves in the magnetized plasma and in the dust plasma. |
| first_indexed | 2024-03-11T19:03:01Z |
| format | Article |
| id | doaj.art-0adbee0a0c664d2f98ec0bcefe8ad19f |
| institution | Directory Open Access Journal |
| issn | 2148-4171 |
| language | English |
| last_indexed | 2024-03-11T19:03:01Z |
| publishDate | 2018-09-01 |
| publisher | Hitit University |
| record_format | Article |
| series | Hittite Journal of Science and Engineering |
| spelling | doaj.art-0adbee0a0c664d2f98ec0bcefe8ad19f2023-10-10T11:17:27ZengHitit UniversityHittite Journal of Science and Engineering2148-41712018-09-015317918310.17350/HJSE19030000088150Exact Solutions of n+1 -Dimensional Space-Time Fractional Zakharov-Kuznetsov EquationMuhammad Nasir Ali0Syed Muhammad Husnine1Sana Noor2Adnan Tuna3Department of Sciences and Humanities, National University of Computer and Emerging Sciences, Lahore, Pakistan.Department of Sciences and Humanities, National University of Computer and Emerging Sciences, Lahore, Pakistan.Department of Geography, Lahore Collage for Women University, Lahore, Pakistan.Department of Mathematics, Nigde Omer Halisdemir University, 51245, Nigde, Turkey.In this article, we study the n+1 -dimensional space time fractional Zakharov-Kuznetsov equation for calculating the exact solutions. For this purpose fractional derivative is used in the form of modified Riemann-Liouville derivatives. Complex fractional transformation is applied for transforming the nonlinear partial differential equation into another nonlinear ordinary differential equation. Exact solutions are obtained by using modified simple equation method and 1⁄G' -expansion method. Obtained solutions are new and may be of significant importance in the field of plasma physics to investigate the waves in the magnetized plasma and in the dust plasma.https://dergipark.org.tr/tr/download/article-file/1506645modified riemann-liouville derivativescomplex fractional transformationmodified simple equation method1⁄g' - expansion methodzakharov-kuznetsov equation. |
| spellingShingle | Muhammad Nasir Ali Syed Muhammad Husnine Sana Noor Adnan Tuna Exact Solutions of n+1 -Dimensional Space-Time Fractional Zakharov-Kuznetsov Equation Hittite Journal of Science and Engineering modified riemann-liouville derivatives complex fractional transformation modified simple equation method 1⁄g' - expansion method zakharov-kuznetsov equation. |
| title | Exact Solutions of n+1 -Dimensional Space-Time Fractional Zakharov-Kuznetsov Equation |
| title_full | Exact Solutions of n+1 -Dimensional Space-Time Fractional Zakharov-Kuznetsov Equation |
| title_fullStr | Exact Solutions of n+1 -Dimensional Space-Time Fractional Zakharov-Kuznetsov Equation |
| title_full_unstemmed | Exact Solutions of n+1 -Dimensional Space-Time Fractional Zakharov-Kuznetsov Equation |
| title_short | Exact Solutions of n+1 -Dimensional Space-Time Fractional Zakharov-Kuznetsov Equation |
| title_sort | exact solutions of n 1 dimensional space time fractional zakharov kuznetsov equation |
| topic | modified riemann-liouville derivatives complex fractional transformation modified simple equation method 1⁄g' - expansion method zakharov-kuznetsov equation. |
| url | https://dergipark.org.tr/tr/download/article-file/1506645 |
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