Multiple rational rogue waves for higher dimensional nonlinear evolution equations via symbolic computation approach
The paper investigates the multiple rogue wave solutions associated with the generalized Hirota–Satsuma–Ito (HSI) equation and the newly proposed extended (3 + 1)-dimensional Jimbo–Miwa (JM) equation with the help of a symbolic computation technique. By incorporating a direct variable transformation...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-01-01
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| Series: | Journal of Ocean Engineering and Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2468013321001285 |
| _version_ | 1797960188202844160 |
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| author | Saima Arshed Nauman Raza Asma Rashid Butt Ahmad Javid J.F. Gómez-Aguilar |
| author_facet | Saima Arshed Nauman Raza Asma Rashid Butt Ahmad Javid J.F. Gómez-Aguilar |
| author_sort | Saima Arshed |
| collection | DOAJ |
| description | The paper investigates the multiple rogue wave solutions associated with the generalized Hirota–Satsuma–Ito (HSI) equation and the newly proposed extended (3 + 1)-dimensional Jimbo–Miwa (JM) equation with the help of a symbolic computation technique. By incorporating a direct variable transformation and utilizing Hirota’s bilinear form, multiple rogue wave structures of different orders are obtained for both generalized HSI and JM equation. The obtained bilinear forms of the proposed equations successfully investigate the 1st, 2nd and 3rd-order rogue waves. The constructed solutions are verified by inserting them into original equations. The computations are assisted with 3D graphs to analyze the propagation dynamics of these rogue waves. Physical properties of these waves are governed by different parameters that are discussed in details. |
| first_indexed | 2024-04-11T00:42:21Z |
| format | Article |
| id | doaj.art-3f58cb62e5fa407fb068c1bb2f49f716 |
| institution | Directory Open Access Journal |
| issn | 2468-0133 |
| language | English |
| last_indexed | 2024-04-11T00:42:21Z |
| publishDate | 2023-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of Ocean Engineering and Science |
| spelling | doaj.art-3f58cb62e5fa407fb068c1bb2f49f7162023-01-06T04:17:34ZengElsevierJournal of Ocean Engineering and Science2468-01332023-01-01813341Multiple rational rogue waves for higher dimensional nonlinear evolution equations via symbolic computation approachSaima Arshed0Nauman Raza1Asma Rashid Butt2Ahmad Javid3J.F. Gómez-Aguilar4Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, PakistanDepartment of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, PakistanDepartment of Mathematics, University of Engineering and Technology, Lahore, PakistanSchool of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Islamabad 44000, PakistanCorresponding author.; CONACyT-Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, Cuernavaca Morelos C.P. 62490, MéxicoThe paper investigates the multiple rogue wave solutions associated with the generalized Hirota–Satsuma–Ito (HSI) equation and the newly proposed extended (3 + 1)-dimensional Jimbo–Miwa (JM) equation with the help of a symbolic computation technique. By incorporating a direct variable transformation and utilizing Hirota’s bilinear form, multiple rogue wave structures of different orders are obtained for both generalized HSI and JM equation. The obtained bilinear forms of the proposed equations successfully investigate the 1st, 2nd and 3rd-order rogue waves. The constructed solutions are verified by inserting them into original equations. The computations are assisted with 3D graphs to analyze the propagation dynamics of these rogue waves. Physical properties of these waves are governed by different parameters that are discussed in details.http://www.sciencedirect.com/science/article/pii/S2468013321001285Generalized Hirota–Satsuma–Ito (HSI) equationThe new extended (3 + 1)-dimensional Jimbo–MiwaequationSymbolic computation approachBilinear formRogue wave solutions |
| spellingShingle | Saima Arshed Nauman Raza Asma Rashid Butt Ahmad Javid J.F. Gómez-Aguilar Multiple rational rogue waves for higher dimensional nonlinear evolution equations via symbolic computation approach Journal of Ocean Engineering and Science Generalized Hirota–Satsuma–Ito (HSI) equation The new extended (3 + 1)-dimensional Jimbo–Miwaequation Symbolic computation approach Bilinear form Rogue wave solutions |
| title | Multiple rational rogue waves for higher dimensional nonlinear evolution equations via symbolic computation approach |
| title_full | Multiple rational rogue waves for higher dimensional nonlinear evolution equations via symbolic computation approach |
| title_fullStr | Multiple rational rogue waves for higher dimensional nonlinear evolution equations via symbolic computation approach |
| title_full_unstemmed | Multiple rational rogue waves for higher dimensional nonlinear evolution equations via symbolic computation approach |
| title_short | Multiple rational rogue waves for higher dimensional nonlinear evolution equations via symbolic computation approach |
| title_sort | multiple rational rogue waves for higher dimensional nonlinear evolution equations via symbolic computation approach |
| topic | Generalized Hirota–Satsuma–Ito (HSI) equation The new extended (3 + 1)-dimensional Jimbo–Miwaequation Symbolic computation approach Bilinear form Rogue wave solutions |
| url | http://www.sciencedirect.com/science/article/pii/S2468013321001285 |
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