Novel multiple solitons, their bifurcations and high order breathers for the novel extended Vakhnenko–Parkes equation
This paper presents a rigorous exploration of the extended Vakhnenko–Parkes-Equation (eVPE), unveiling a rich tapestry of multi solitons, bifurcations, and high-order breathers. Notably, it achieves an impressive feat by deriving solitons up to sixth order and breathers up to third order, pushing th...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-11-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723008318 |
| _version_ | 1827753249994702848 |
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| author | Shaokun Du Noor Ul Haq Mati Ur Rahman |
| author_facet | Shaokun Du Noor Ul Haq Mati Ur Rahman |
| author_sort | Shaokun Du |
| collection | DOAJ |
| description | This paper presents a rigorous exploration of the extended Vakhnenko–Parkes-Equation (eVPE), unveiling a rich tapestry of multi solitons, bifurcations, and high-order breathers. Notably, it achieves an impressive feat by deriving solitons up to sixth order and breathers up to third order, pushing the boundaries of the equation’s solutions. These intricate solutions are not only derived but also vividly brought to life through numerical visualizations, underscoring the profound implications of the our work. Through insightful discussions, the manuscript effectively underscores the significance of these findings, opening new avenues for understanding nonlinear dynamics and their applications across various scientific domains. |
| first_indexed | 2024-03-11T07:34:02Z |
| format | Article |
| id | doaj.art-8282853dc02642be9a15e1f0aa7b946f |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-11T07:34:02Z |
| publishDate | 2023-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-8282853dc02642be9a15e1f0aa7b946f2023-11-17T05:26:17ZengElsevierResults in Physics2211-37972023-11-0154107038Novel multiple solitons, their bifurcations and high order breathers for the novel extended Vakhnenko–Parkes equationShaokun Du0Noor Ul Haq1Mati Ur Rahman2Hebei University of Water Resources and Electric Engineering, Cangzhou, Hebei, 061000, China; Corresponding author.Department of Mathematics, Kabul University, Kabul, AfghanistanDepartment of computer science and mathematics, Lebanese American university, Beirut, Lebanon; School of Mathematical Sciences, Jiangsu University, Zhenjiang, Jiangsu, 212013, P.R.ChinaThis paper presents a rigorous exploration of the extended Vakhnenko–Parkes-Equation (eVPE), unveiling a rich tapestry of multi solitons, bifurcations, and high-order breathers. Notably, it achieves an impressive feat by deriving solitons up to sixth order and breathers up to third order, pushing the boundaries of the equation’s solutions. These intricate solutions are not only derived but also vividly brought to life through numerical visualizations, underscoring the profound implications of the our work. Through insightful discussions, the manuscript effectively underscores the significance of these findings, opening new avenues for understanding nonlinear dynamics and their applications across various scientific domains.http://www.sciencedirect.com/science/article/pii/S2211379723008318Multi solitonsBifurcationsBreathersExtended Vakhnenko–Parkes-Equation |
| spellingShingle | Shaokun Du Noor Ul Haq Mati Ur Rahman Novel multiple solitons, their bifurcations and high order breathers for the novel extended Vakhnenko–Parkes equation Results in Physics Multi solitons Bifurcations Breathers Extended Vakhnenko–Parkes-Equation |
| title | Novel multiple solitons, their bifurcations and high order breathers for the novel extended Vakhnenko–Parkes equation |
| title_full | Novel multiple solitons, their bifurcations and high order breathers for the novel extended Vakhnenko–Parkes equation |
| title_fullStr | Novel multiple solitons, their bifurcations and high order breathers for the novel extended Vakhnenko–Parkes equation |
| title_full_unstemmed | Novel multiple solitons, their bifurcations and high order breathers for the novel extended Vakhnenko–Parkes equation |
| title_short | Novel multiple solitons, their bifurcations and high order breathers for the novel extended Vakhnenko–Parkes equation |
| title_sort | novel multiple solitons their bifurcations and high order breathers for the novel extended vakhnenko parkes equation |
| topic | Multi solitons Bifurcations Breathers Extended Vakhnenko–Parkes-Equation |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723008318 |
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