New waves solutions of the (2+1)-dimensional generalized Hirota–Satsuma–Ito equation using a novel expansion method
Numerous scientific fields depend on precise solutions, which can be obtained for nonlinear partial differential equations (PDEs) through various techniques. It is important to note that solutions obtained through different approaches can vary. The main objective of this research is to identify nove...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-07-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723002437 |
| _version_ | 1797802245459279872 |
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| author | Saqib Khaliq Shabir Ahmad Aman Ullah Hijaz Ahmad Sayed Saifullah Taher A. Nofal |
| author_facet | Saqib Khaliq Shabir Ahmad Aman Ullah Hijaz Ahmad Sayed Saifullah Taher A. Nofal |
| author_sort | Saqib Khaliq |
| collection | DOAJ |
| description | Numerous scientific fields depend on precise solutions, which can be obtained for nonlinear partial differential equations (PDEs) through various techniques. It is important to note that solutions obtained through different approaches can vary. The main objective of this research is to identify novel traveling wave solutions for the (2+1)-dimensional Generalized Hirota–Satsuma–Ito equation (GHSIE). Initially, the reduced form of the GHSIE is derived, and then, using the G′G′+G+A-Expansion method, new exact solutions are obtained including kink and lumps. These solutions depict the dynamics of nonlinear phenomena and are represented graphically as periodically solitary waves. |
| first_indexed | 2024-03-13T05:03:03Z |
| format | Article |
| id | doaj.art-7d5922a31f424ef89fc2cab958ddc383 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-13T05:03:03Z |
| publishDate | 2023-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-7d5922a31f424ef89fc2cab958ddc3832023-06-17T05:18:06ZengElsevierResults in Physics2211-37972023-07-0150106450New waves solutions of the (2+1)-dimensional generalized Hirota–Satsuma–Ito equation using a novel expansion methodSaqib Khaliq0Shabir Ahmad1Aman Ullah2Hijaz Ahmad3Sayed Saifullah4Taher A. Nofal5Department of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhwa, PakistanDepartment of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon; Near East University, Operational Research Center in Healthcare, Nicosia, PC: 99138, TRNC Mersin 10, Turkey; Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy; Corresponding author at: Near East University, Operational Research Center in Healthcare, Nicosia, PC: 99138, TRNC Mersin 10, Turkey.Department of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhwa, PakistanDepartment of Mathematic, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaNumerous scientific fields depend on precise solutions, which can be obtained for nonlinear partial differential equations (PDEs) through various techniques. It is important to note that solutions obtained through different approaches can vary. The main objective of this research is to identify novel traveling wave solutions for the (2+1)-dimensional Generalized Hirota–Satsuma–Ito equation (GHSIE). Initially, the reduced form of the GHSIE is derived, and then, using the G′G′+G+A-Expansion method, new exact solutions are obtained including kink and lumps. These solutions depict the dynamics of nonlinear phenomena and are represented graphically as periodically solitary waves.http://www.sciencedirect.com/science/article/pii/S2211379723002437Traveling wavesExact solutionLump soliton |
| spellingShingle | Saqib Khaliq Shabir Ahmad Aman Ullah Hijaz Ahmad Sayed Saifullah Taher A. Nofal New waves solutions of the (2+1)-dimensional generalized Hirota–Satsuma–Ito equation using a novel expansion method Results in Physics Traveling waves Exact solution Lump soliton |
| title | New waves solutions of the (2+1)-dimensional generalized Hirota–Satsuma–Ito equation using a novel expansion method |
| title_full | New waves solutions of the (2+1)-dimensional generalized Hirota–Satsuma–Ito equation using a novel expansion method |
| title_fullStr | New waves solutions of the (2+1)-dimensional generalized Hirota–Satsuma–Ito equation using a novel expansion method |
| title_full_unstemmed | New waves solutions of the (2+1)-dimensional generalized Hirota–Satsuma–Ito equation using a novel expansion method |
| title_short | New waves solutions of the (2+1)-dimensional generalized Hirota–Satsuma–Ito equation using a novel expansion method |
| title_sort | new waves solutions of the 2 1 dimensional generalized hirota satsuma ito equation using a novel expansion method |
| topic | Traveling waves Exact solution Lump soliton |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723002437 |
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