The phase shift analysis of the colliding dissipative KdV solitons
In this work, the head-on collisions of the non-stationary dissipative soliton in ultracold neutral plasmas (UNPs) are investigated. The extended Poincare-Lighthill-Kuo (PLK) approach is adopted for reducing the fluid equations of the UNPs to two-counterpropagating damped Korteweg-de Vries (dKdV) eq...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-12-01
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| Series: | Journal of Ocean Engineering and Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2468013321001030 |
| _version_ | 1811233113848676352 |
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| author | Wedad Albalawi S.A. El-Tantawy Sadah A. Alkhateeb |
| author_facet | Wedad Albalawi S.A. El-Tantawy Sadah A. Alkhateeb |
| author_sort | Wedad Albalawi |
| collection | DOAJ |
| description | In this work, the head-on collisions of the non-stationary dissipative soliton in ultracold neutral plasmas (UNPs) are investigated. The extended Poincare-Lighthill-Kuo (PLK) approach is adopted for reducing the fluid equations of the UNPs to two-counterpropagating damped Korteweg-de Vries (dKdV) equations. The dKdV equation is not an integrable Hamiltonian system, i.e., does not have an exact solution. Thus, one of the main goal of this paper is to find a new general approximate analytical solution to the dKdV equation for investigating the mechanism of the propagation and interaction of the non-stationary dissipative solitons. The residual error is estimated for checking the accuracy of the new obtained solution. The approximate analytical soliton solutions are adopted for deriving the temporal phase shifts after the collision. The impact of physical parameters on the nonstationary dissipative soliton profile and the temporal phase shifts is discussed. The obtained results will contribute to understand the mechanism of propagation and interaction of many nonlinear phenomena in different nonlinear mediums such as ocean, sea, optical fiber, plasma physics, etc. |
| first_indexed | 2024-04-12T11:14:57Z |
| format | Article |
| id | doaj.art-ada9b4983adc42598dbf6ee1de42dbdf |
| institution | Directory Open Access Journal |
| issn | 2468-0133 |
| language | English |
| last_indexed | 2024-04-12T11:14:57Z |
| publishDate | 2022-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of Ocean Engineering and Science |
| spelling | doaj.art-ada9b4983adc42598dbf6ee1de42dbdf2022-12-22T03:35:31ZengElsevierJournal of Ocean Engineering and Science2468-01332022-12-0176521527The phase shift analysis of the colliding dissipative KdV solitonsWedad Albalawi0S.A. El-Tantawy1Sadah A. Alkhateeb2Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi ArabiaCorresponding author at: Department of Physics, Faculty of Science, Port Said University, Port Said 42521, Egypt.; Department of Physics, Faculty of Science, Port Said University, Port Said 42521, Egypt; Research Center for Physics (RCP), Department of Physics, Faculty of Science and Arts, Al-Mikhwah, Al-Baha University, Saudi ArabiaMathematics Department, Faculty of Science, University of Jeddah, Jeddah, Saudi ArabiaIn this work, the head-on collisions of the non-stationary dissipative soliton in ultracold neutral plasmas (UNPs) are investigated. The extended Poincare-Lighthill-Kuo (PLK) approach is adopted for reducing the fluid equations of the UNPs to two-counterpropagating damped Korteweg-de Vries (dKdV) equations. The dKdV equation is not an integrable Hamiltonian system, i.e., does not have an exact solution. Thus, one of the main goal of this paper is to find a new general approximate analytical solution to the dKdV equation for investigating the mechanism of the propagation and interaction of the non-stationary dissipative solitons. The residual error is estimated for checking the accuracy of the new obtained solution. The approximate analytical soliton solutions are adopted for deriving the temporal phase shifts after the collision. The impact of physical parameters on the nonstationary dissipative soliton profile and the temporal phase shifts is discussed. The obtained results will contribute to understand the mechanism of propagation and interaction of many nonlinear phenomena in different nonlinear mediums such as ocean, sea, optical fiber, plasma physics, etc.http://www.sciencedirect.com/science/article/pii/S2468013321001030Dissipative soliton collisionsDamped Korteweg-de Vries equationThe extended Poincare-Lighthill-Kuo methodThe temporal phase shifts |
| spellingShingle | Wedad Albalawi S.A. El-Tantawy Sadah A. Alkhateeb The phase shift analysis of the colliding dissipative KdV solitons Journal of Ocean Engineering and Science Dissipative soliton collisions Damped Korteweg-de Vries equation The extended Poincare-Lighthill-Kuo method The temporal phase shifts |
| title | The phase shift analysis of the colliding dissipative KdV solitons |
| title_full | The phase shift analysis of the colliding dissipative KdV solitons |
| title_fullStr | The phase shift analysis of the colliding dissipative KdV solitons |
| title_full_unstemmed | The phase shift analysis of the colliding dissipative KdV solitons |
| title_short | The phase shift analysis of the colliding dissipative KdV solitons |
| title_sort | phase shift analysis of the colliding dissipative kdv solitons |
| topic | Dissipative soliton collisions Damped Korteweg-de Vries equation The extended Poincare-Lighthill-Kuo method The temporal phase shifts |
| url | http://www.sciencedirect.com/science/article/pii/S2468013321001030 |
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