Solitary Wave Solutions for the Higher Dimensional Jimo-Miwa Dynamical Equation via New Mathematical Techniques
In this study, under the considerations of symbolic computation with the help of Mathematica software, various types of solitary wave solutions for the (3 + 1)-dimensional Jimo–Miwa (JM) equation are successfully constructed based on the extended modified rational expansion method. The constructed s...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/7/1011 |
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| author | Aly R. Seadawy Hanadi Zahed Mujahid Iqbal |
| author_facet | Aly R. Seadawy Hanadi Zahed Mujahid Iqbal |
| author_sort | Aly R. Seadawy |
| collection | DOAJ |
| description | In this study, under the considerations of symbolic computation with the help of Mathematica software, various types of solitary wave solutions for the (3 + 1)-dimensional Jimo–Miwa (JM) equation are successfully constructed based on the extended modified rational expansion method. The constructed solutions are novel and more general for the JM equation named kink wave solutions, anti-kink wave solutions, bright and dark solutions, mixed solutions in the shape of bright-dark solutions, and periodic waves, which do not exist in the existing literature. The physical phenomena of the demonstrated results is represented graphically by two-dimensional, three-dimensional, and contour images with the help of Mathematica. The obtained results will be widely used to explain the various interesting physical structures in the areas of optics, plasma, gas, acoustics, classical mechanics, fluid dynamics, heat transfer, and many others. |
| first_indexed | 2024-03-09T11:39:18Z |
| format | Article |
| id | doaj.art-7c63dac51ca44da488566266eebb11a2 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T11:39:18Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-7c63dac51ca44da488566266eebb11a22023-11-30T23:35:52ZengMDPI AGMathematics2227-73902022-03-01107101110.3390/math10071011Solitary Wave Solutions for the Higher Dimensional Jimo-Miwa Dynamical Equation via New Mathematical TechniquesAly R. Seadawy0Hanadi Zahed1Mujahid Iqbal2Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah 41411, Saudi ArabiaMathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah 41411, Saudi ArabiaFaculty of Science, Jiangsu University, Zhenjiang 212013, ChinaIn this study, under the considerations of symbolic computation with the help of Mathematica software, various types of solitary wave solutions for the (3 + 1)-dimensional Jimo–Miwa (JM) equation are successfully constructed based on the extended modified rational expansion method. The constructed solutions are novel and more general for the JM equation named kink wave solutions, anti-kink wave solutions, bright and dark solutions, mixed solutions in the shape of bright-dark solutions, and periodic waves, which do not exist in the existing literature. The physical phenomena of the demonstrated results is represented graphically by two-dimensional, three-dimensional, and contour images with the help of Mathematica. The obtained results will be widely used to explain the various interesting physical structures in the areas of optics, plasma, gas, acoustics, classical mechanics, fluid dynamics, heat transfer, and many others.https://www.mdpi.com/2227-7390/10/7/1011(3 + 1)-dimensional Jimo–Miwa equationnew mathematical techniquebright and dark solutionskink and anti-kink wave solutionsmixed solutionsperiodic solitary wave solutions |
| spellingShingle | Aly R. Seadawy Hanadi Zahed Mujahid Iqbal Solitary Wave Solutions for the Higher Dimensional Jimo-Miwa Dynamical Equation via New Mathematical Techniques Mathematics (3 + 1)-dimensional Jimo–Miwa equation new mathematical technique bright and dark solutions kink and anti-kink wave solutions mixed solutions periodic solitary wave solutions |
| title | Solitary Wave Solutions for the Higher Dimensional Jimo-Miwa Dynamical Equation via New Mathematical Techniques |
| title_full | Solitary Wave Solutions for the Higher Dimensional Jimo-Miwa Dynamical Equation via New Mathematical Techniques |
| title_fullStr | Solitary Wave Solutions for the Higher Dimensional Jimo-Miwa Dynamical Equation via New Mathematical Techniques |
| title_full_unstemmed | Solitary Wave Solutions for the Higher Dimensional Jimo-Miwa Dynamical Equation via New Mathematical Techniques |
| title_short | Solitary Wave Solutions for the Higher Dimensional Jimo-Miwa Dynamical Equation via New Mathematical Techniques |
| title_sort | solitary wave solutions for the higher dimensional jimo miwa dynamical equation via new mathematical techniques |
| topic | (3 + 1)-dimensional Jimo–Miwa equation new mathematical technique bright and dark solutions kink and anti-kink wave solutions mixed solutions periodic solitary wave solutions |
| url | https://www.mdpi.com/2227-7390/10/7/1011 |
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