New super and shock like solitary structures for KdV equation with higher-order nonlinearity
The model of dual-power law nonlinearity Korteweg–De Vries (KdV) equation describe sudden physical phenomena with higher orders of nonlinearity in fluid dynamics, plasma, fiber communications and biological systems. The model was solved by the modified F-expansion approach to produce structural solu...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-04-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016825001516 |
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| author | H.S. Alayachi Abdulghani Alharbi E.K. El-Shewy Mahmoud A.E. Abdelrahman |
| author_facet | H.S. Alayachi Abdulghani Alharbi E.K. El-Shewy Mahmoud A.E. Abdelrahman |
| author_sort | H.S. Alayachi |
| collection | DOAJ |
| description | The model of dual-power law nonlinearity Korteweg–De Vries (KdV) equation describe sudden physical phenomena with higher orders of nonlinearity in fluid dynamics, plasma, fiber communications and biological systems. The model was solved by the modified F-expansion approach to produce structural solutions in the vital form of super periodic solitons, super periodic shocks, shock solutions, super-shock-soliton like solutions and cnoidal solitons. The modified F-expansion approach is an effective, powerful and straightforward method for obtaining the solitary wave solutions to the nonlinear partial differential equations (NPDEs). The effect of model parameters on the nature, properties and structures of the model solutions have been examined. It was noted that, the wave amplitude, bandwidths and phase shift are improved by changing model parameters in super periodic solitons and super periodic shocks. The new solutions obtained in this study may hold significance for the applications of electrostatic EASWs structures at critical density, which have been observed in diverse space plasma environments, including the plasma sheet boundary layers of the Earth’s magnetotail region for ions temperature ranging from 0.01 to 1 KeV. |
| format | Article |
| id | doaj-art-02a5aff98c504d01999479942cffea1a |
| institution | Kabale University |
| issn | 1110-0168 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj-art-02a5aff98c504d01999479942cffea1a2025-02-11T04:33:38ZengElsevierAlexandria Engineering Journal1110-01682025-04-01119503510New super and shock like solitary structures for KdV equation with higher-order nonlinearityH.S. Alayachi0Abdulghani Alharbi1E.K. El-Shewy2Mahmoud A.E. Abdelrahman3Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi ArabiaDepartment of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi ArabiaDepartment of Physics, College of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia; Theoretical Physics Group, Faculty of Science, Mansoura University, Mansoura 35516, EgyptDepartment of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia; Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt; Corresponding author at: Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt.The model of dual-power law nonlinearity Korteweg–De Vries (KdV) equation describe sudden physical phenomena with higher orders of nonlinearity in fluid dynamics, plasma, fiber communications and biological systems. The model was solved by the modified F-expansion approach to produce structural solutions in the vital form of super periodic solitons, super periodic shocks, shock solutions, super-shock-soliton like solutions and cnoidal solitons. The modified F-expansion approach is an effective, powerful and straightforward method for obtaining the solitary wave solutions to the nonlinear partial differential equations (NPDEs). The effect of model parameters on the nature, properties and structures of the model solutions have been examined. It was noted that, the wave amplitude, bandwidths and phase shift are improved by changing model parameters in super periodic solitons and super periodic shocks. The new solutions obtained in this study may hold significance for the applications of electrostatic EASWs structures at critical density, which have been observed in diverse space plasma environments, including the plasma sheet boundary layers of the Earth’s magnetotail region for ions temperature ranging from 0.01 to 1 KeV.http://www.sciencedirect.com/science/article/pii/S1110016825001516KdV equationHigher-order nonlinearityModified F-expansion approachSuper periodic solitonsPlasma applications |
| spellingShingle | H.S. Alayachi Abdulghani Alharbi E.K. El-Shewy Mahmoud A.E. Abdelrahman New super and shock like solitary structures for KdV equation with higher-order nonlinearity Alexandria Engineering Journal KdV equation Higher-order nonlinearity Modified F-expansion approach Super periodic solitons Plasma applications |
| title | New super and shock like solitary structures for KdV equation with higher-order nonlinearity |
| title_full | New super and shock like solitary structures for KdV equation with higher-order nonlinearity |
| title_fullStr | New super and shock like solitary structures for KdV equation with higher-order nonlinearity |
| title_full_unstemmed | New super and shock like solitary structures for KdV equation with higher-order nonlinearity |
| title_short | New super and shock like solitary structures for KdV equation with higher-order nonlinearity |
| title_sort | new super and shock like solitary structures for kdv equation with higher order nonlinearity |
| topic | KdV equation Higher-order nonlinearity Modified F-expansion approach Super periodic solitons Plasma applications |
| url | http://www.sciencedirect.com/science/article/pii/S1110016825001516 |
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