Fundamental solutions for the conformable time fractional Phi-4 and space-time fractional simplified MCH equations
We construct new solitary structures for time fractional Phi-4 and space-time fractional simplified modified Camassa-Holm (MCH) equations, utilizing the unified solver technique. The time (space-time) fractional derivatives are defined via sense of the new conformable fractional derivative. The unif...
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-04-01
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| Series: | AIMS Mathematics |
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| Online Access: | http://www.aimspress.com/article/doi/10.3934/math.2021386?viewType=HTML |
| _version_ | 1818724795984904192 |
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| author | Mahmoud A. E. Abdelrahman S. Z. Hassan R. A. Alomair D. M. Alsaleh |
| author_facet | Mahmoud A. E. Abdelrahman S. Z. Hassan R. A. Alomair D. M. Alsaleh |
| author_sort | Mahmoud A. E. Abdelrahman |
| collection | DOAJ |
| description | We construct new solitary structures for time fractional Phi-4 and space-time fractional simplified modified Camassa-Holm (MCH) equations, utilizing the unified solver technique. The time (space-time) fractional derivatives are defined via sense of the new conformable fractional derivative. The unified solver technique extract vital solutions in explicit way. The obtained solutions may be beneficial for explaining many complex phenomena arising in fluid mechanics, nuclear, plasma and particle physics. The unified solver method is a vital tool for handling further models arising in applied science and new physics. For detailed physical dynamical representation of our results, 3D and 2D profiles to some of the gained solutions are also illustrated using Matlab software. |
| first_indexed | 2024-12-17T21:32:06Z |
| format | Article |
| id | doaj.art-1a066d15c58b46dea2e43c4aa4015692 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-17T21:32:06Z |
| publishDate | 2021-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-1a066d15c58b46dea2e43c4aa40156922022-12-21T21:31:50ZengAIMS PressAIMS Mathematics2473-69882021-04-01666555656810.3934/math.2021386Fundamental solutions for the conformable time fractional Phi-4 and space-time fractional simplified MCH equationsMahmoud A. E. Abdelrahman0S. Z. Hassan1R. A. Alomair 2D. M. Alsaleh31. Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia 2. Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt3. Department of Mathematics, College of Science and Humanities, Jubail, Imam Abdulrahman Bin Faisal University, Saudi Arabia3. Department of Mathematics, College of Science and Humanities, Jubail, Imam Abdulrahman Bin Faisal University, Saudi Arabia4. Department of Mathematics, College of Science, Dammam, Imam Abdulrahman Bin Faisal University, Saudi ArabiaWe construct new solitary structures for time fractional Phi-4 and space-time fractional simplified modified Camassa-Holm (MCH) equations, utilizing the unified solver technique. The time (space-time) fractional derivatives are defined via sense of the new conformable fractional derivative. The unified solver technique extract vital solutions in explicit way. The obtained solutions may be beneficial for explaining many complex phenomena arising in fluid mechanics, nuclear, plasma and particle physics. The unified solver method is a vital tool for handling further models arising in applied science and new physics. For detailed physical dynamical representation of our results, 3D and 2D profiles to some of the gained solutions are also illustrated using Matlab software.http://www.aimspress.com/article/doi/10.3934/math.2021386?viewType=HTMLfractional phi-4 equationfractional mch equationunified solver methodsolitonsconformable derivativephysical applications |
| spellingShingle | Mahmoud A. E. Abdelrahman S. Z. Hassan R. A. Alomair D. M. Alsaleh Fundamental solutions for the conformable time fractional Phi-4 and space-time fractional simplified MCH equations AIMS Mathematics fractional phi-4 equation fractional mch equation unified solver method solitons conformable derivative physical applications |
| title | Fundamental solutions for the conformable time fractional Phi-4 and space-time fractional simplified MCH equations |
| title_full | Fundamental solutions for the conformable time fractional Phi-4 and space-time fractional simplified MCH equations |
| title_fullStr | Fundamental solutions for the conformable time fractional Phi-4 and space-time fractional simplified MCH equations |
| title_full_unstemmed | Fundamental solutions for the conformable time fractional Phi-4 and space-time fractional simplified MCH equations |
| title_short | Fundamental solutions for the conformable time fractional Phi-4 and space-time fractional simplified MCH equations |
| title_sort | fundamental solutions for the conformable time fractional phi 4 and space time fractional simplified mch equations |
| topic | fractional phi-4 equation fractional mch equation unified solver method solitons conformable derivative physical applications |
| url | http://www.aimspress.com/article/doi/10.3934/math.2021386?viewType=HTML |
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