On the modified versions of G′G-expansion technique for analyzing the fractional coupled Higgs system
In this research, two modified forms of the Ḡ≡G′G-expansion method are employed to investigate various kinds of solitary wave solutions that include kink, lump, periodic, and rogue wave solutions within the framework of the fractional coupled Higgs system. The underlying patterns in the targeted mo...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2023-10-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0167916 |
| _version_ | 1827767788677103616 |
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| author | Ma’mon Abu Hammad Rasool Shah B. M. Alotaibi Mohammed Alotiby C. G. L. Tiofack Albandari W. Alrowaily S. A. El-Tantawy |
| author_facet | Ma’mon Abu Hammad Rasool Shah B. M. Alotaibi Mohammed Alotiby C. G. L. Tiofack Albandari W. Alrowaily S. A. El-Tantawy |
| author_sort | Ma’mon Abu Hammad |
| collection | DOAJ |
| description | In this research, two modified forms of the Ḡ≡G′G-expansion method are employed to investigate various kinds of solitary wave solutions that include kink, lump, periodic, and rogue wave solutions within the framework of the fractional coupled Higgs system. The underlying patterns in the targeted model are revealed by using extended and generalized Ḡ-expansion methods. The first step involves converting the model into nonlinear ordinary differential equations via a fractional complex transformation. Following that, the suggested improved versions of the Ḡ-expansion approach are used to provide numerous solitary wave solutions. Some solitary wave solutions are represented by two- and three-dimensional graphs, demonstrating their typical propagating behavior. This research finishes by summarizing the vast findings and exploring their implications for high-energy physics. |
| first_indexed | 2024-03-11T12:03:50Z |
| format | Article |
| id | doaj.art-9526cfd24e414b00b4f0f10322096575 |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-03-11T12:03:50Z |
| publishDate | 2023-10-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-9526cfd24e414b00b4f0f103220965752023-11-07T17:47:01ZengAIP Publishing LLCAIP Advances2158-32262023-10-011310105131105131-2010.1063/5.0167916On the modified versions of G′G-expansion technique for analyzing the fractional coupled Higgs systemMa’mon Abu Hammad0Rasool Shah1B. M. Alotaibi2Mohammed Alotiby3C. G. L. Tiofack4Albandari W. Alrowaily5S. A. El-Tantawy6Department of Mathematics, Al-Zaytoonah University of Jordan, Amman 11733, JordanDepartment of Mathematics, Abdul Wali Khan University, Mardan 23200, PakistanDepartment of Physics, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaNuclear Technologies Institute (NTI), King Abdulaziz City for Science & Technology (KACST), P.O. Box 6086, Riyadh 11442, Saudi ArabiaHigher Teachers’ Training College, University of Maroua, P.O. Box 55, Maroua, CameroonDepartment of Physics, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Physics, Faculty of Science, Port Said University, Port Said 42521, EgyptIn this research, two modified forms of the Ḡ≡G′G-expansion method are employed to investigate various kinds of solitary wave solutions that include kink, lump, periodic, and rogue wave solutions within the framework of the fractional coupled Higgs system. The underlying patterns in the targeted model are revealed by using extended and generalized Ḡ-expansion methods. The first step involves converting the model into nonlinear ordinary differential equations via a fractional complex transformation. Following that, the suggested improved versions of the Ḡ-expansion approach are used to provide numerous solitary wave solutions. Some solitary wave solutions are represented by two- and three-dimensional graphs, demonstrating their typical propagating behavior. This research finishes by summarizing the vast findings and exploring their implications for high-energy physics.http://dx.doi.org/10.1063/5.0167916 |
| spellingShingle | Ma’mon Abu Hammad Rasool Shah B. M. Alotaibi Mohammed Alotiby C. G. L. Tiofack Albandari W. Alrowaily S. A. El-Tantawy On the modified versions of G′G-expansion technique for analyzing the fractional coupled Higgs system AIP Advances |
| title | On the modified versions of G′G-expansion technique for analyzing the fractional coupled Higgs system |
| title_full | On the modified versions of G′G-expansion technique for analyzing the fractional coupled Higgs system |
| title_fullStr | On the modified versions of G′G-expansion technique for analyzing the fractional coupled Higgs system |
| title_full_unstemmed | On the modified versions of G′G-expansion technique for analyzing the fractional coupled Higgs system |
| title_short | On the modified versions of G′G-expansion technique for analyzing the fractional coupled Higgs system |
| title_sort | on the modified versions of g g expansion technique for analyzing the fractional coupled higgs system |
| url | http://dx.doi.org/10.1063/5.0167916 |
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