Construction of exact multi-soliton solutions to the modified Gross–Pitaevskii equation and further elastic interactions
In this paper, the modified Gross–Pitaevskii equation is investigated, taking into account the effects of higher-order interactions (HOIs) in the context of Bose–Einstein condensates. Starting from the theoretical model, subsequent equations of the Hirota bilinear form are built to extract exact ana...
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2025-06-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0270176 |
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| author | Cyrille Edgard Nkenfack Olivier Tiokeng Lekeufack Timoleon Crepin Kofane |
| author_facet | Cyrille Edgard Nkenfack Olivier Tiokeng Lekeufack Timoleon Crepin Kofane |
| author_sort | Cyrille Edgard Nkenfack |
| collection | DOAJ |
| description | In this paper, the modified Gross–Pitaevskii equation is investigated, taking into account the effects of higher-order interactions (HOIs) in the context of Bose–Einstein condensates. Starting from the theoretical model, subsequent equations of the Hirota bilinear form are built to extract exact analytical multi-soliton solutions, whose details are provided. Fundamental solitons are deeply investigated with emphasis on the wave amplification/compression efficiency. The findings also show how the HOI parameter, beyond amplifying the fundamental wave, affects spatial delocalization in the repulsive and elastic collisional processes in multi-soliton propagation. In addition, further investigations on the elastic interaction of multi-solitons reveal the phenomenon of memory recombination for solitons, which has been evidenced through various interacting procedures. These results may be used as a guide for the production of soliton trains and signal amplification/compression for potential applications in telecommunication devices. |
| format | Article |
| id | doaj-art-9024bab731814f2fbdc42b7a2999d035 |
| institution | Kabale University |
| issn | 2158-3226 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj-art-9024bab731814f2fbdc42b7a2999d0352025-08-20T03:31:06ZengAIP Publishing LLCAIP Advances2158-32262025-06-01156065122065122-1310.1063/5.0270176Construction of exact multi-soliton solutions to the modified Gross–Pitaevskii equation and further elastic interactionsCyrille Edgard Nkenfack0Olivier Tiokeng Lekeufack1Timoleon Crepin Kofane2Pure Physics Laboratory: Group of Nonlinear Physics and Complex Systems, Department of Physics, Faculty of Science, University of Douala, P.O. Box 24157, Douala, CameroonPure Physics Laboratory: Group of Nonlinear Physics and Complex Systems, Department of Physics, Faculty of Science, University of Douala, P.O. Box 24157, Douala, CameroonDepartment of Physics and Astronomy, Botswana International University of Science and Technology, Private Mail Bag 16, Palapye, BotswanaIn this paper, the modified Gross–Pitaevskii equation is investigated, taking into account the effects of higher-order interactions (HOIs) in the context of Bose–Einstein condensates. Starting from the theoretical model, subsequent equations of the Hirota bilinear form are built to extract exact analytical multi-soliton solutions, whose details are provided. Fundamental solitons are deeply investigated with emphasis on the wave amplification/compression efficiency. The findings also show how the HOI parameter, beyond amplifying the fundamental wave, affects spatial delocalization in the repulsive and elastic collisional processes in multi-soliton propagation. In addition, further investigations on the elastic interaction of multi-solitons reveal the phenomenon of memory recombination for solitons, which has been evidenced through various interacting procedures. These results may be used as a guide for the production of soliton trains and signal amplification/compression for potential applications in telecommunication devices.http://dx.doi.org/10.1063/5.0270176 |
| spellingShingle | Cyrille Edgard Nkenfack Olivier Tiokeng Lekeufack Timoleon Crepin Kofane Construction of exact multi-soliton solutions to the modified Gross–Pitaevskii equation and further elastic interactions AIP Advances |
| title | Construction of exact multi-soliton solutions to the modified Gross–Pitaevskii equation and further elastic interactions |
| title_full | Construction of exact multi-soliton solutions to the modified Gross–Pitaevskii equation and further elastic interactions |
| title_fullStr | Construction of exact multi-soliton solutions to the modified Gross–Pitaevskii equation and further elastic interactions |
| title_full_unstemmed | Construction of exact multi-soliton solutions to the modified Gross–Pitaevskii equation and further elastic interactions |
| title_short | Construction of exact multi-soliton solutions to the modified Gross–Pitaevskii equation and further elastic interactions |
| title_sort | construction of exact multi soliton solutions to the modified gross pitaevskii equation and further elastic interactions |
| url | http://dx.doi.org/10.1063/5.0270176 |
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