Dynamics of solitary waves, chaotic behaviors, and Jacobi elliptic wave solutions in telecommunication systems
This research explores bifurcation of a nonlinear model concerning with the telecommunication strait. Possible all phase plane diagrams due to various parametric conditions are found. Derivation of analytical tangled wave propagating solutions following all phase orbits of the corresponding phase po...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-05-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379724003127 |
| _version_ | 1797214876064546816 |
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| author | Fahad Sameer Alshammari Harun-Or Roshid Abdulaziz Saad Alkhorayef A.A. Elsadany A. Aldurayhim |
| author_facet | Fahad Sameer Alshammari Harun-Or Roshid Abdulaziz Saad Alkhorayef A.A. Elsadany A. Aldurayhim |
| author_sort | Fahad Sameer Alshammari |
| collection | DOAJ |
| description | This research explores bifurcation of a nonlinear model concerning with the telecommunication strait. Possible all phase plane diagrams due to various parametric conditions are found. Derivation of analytical tangled wave propagating solutions following all phase orbits of the corresponding phase portraits are established. As a results, the soliton, shock wave, singular soliton, periodic wave and singular periodic solutions are obtained by direct integration from Hamiltonian energy function. The periodic solutions of the model are formulated in the form of generalized Jacobi elliptic functions, which also provide the solitonic solution setting the value of beta is unity. Additionally, chaotic and quasi-periodic behaviors have been found for a range of parameter values after adding the perturbed term. The perturbed system’s quasi-periodic and chaotic behavior have been demonstrated using sensitivity analysis. Finally, picturesque explorations are delivered exposing effects of exist parameters of the gained wave solutions. The majority of the achieved results are derived for the first time. Moreover, the solutions show that the novel schemes are very simple, outright, fruitful and successful and that they can be used in wide range of other nonlinear partial differential equations (NLPDEs), which create different kinds of dynamical features of other wave model. |
| first_indexed | 2024-04-24T11:21:08Z |
| format | Article |
| id | doaj.art-25b3b218e1644f24bc8482bebfc2f6ca |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-24T11:21:08Z |
| publishDate | 2024-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-25b3b218e1644f24bc8482bebfc2f6ca2024-04-11T04:41:12ZengElsevierResults in Physics2211-37972024-05-0160107629Dynamics of solitary waves, chaotic behaviors, and Jacobi elliptic wave solutions in telecommunication systemsFahad Sameer Alshammari0Harun-Or Roshid1Abdulaziz Saad Alkhorayef2A.A. Elsadany3A. Aldurayhim4Department of Mathematics, Faculty of Sciences and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi ArabiaDepartment of Mathematics Pabna University of Science and Technology, Pabna 6600, BangladeshDepartment of Mathematics, Faculty of Sciences and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi ArabiaDepartment of Mathematics, Faculty of Sciences and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia; Corresponding author.Department of Mathematics, Faculty of Sciences and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi ArabiaThis research explores bifurcation of a nonlinear model concerning with the telecommunication strait. Possible all phase plane diagrams due to various parametric conditions are found. Derivation of analytical tangled wave propagating solutions following all phase orbits of the corresponding phase portraits are established. As a results, the soliton, shock wave, singular soliton, periodic wave and singular periodic solutions are obtained by direct integration from Hamiltonian energy function. The periodic solutions of the model are formulated in the form of generalized Jacobi elliptic functions, which also provide the solitonic solution setting the value of beta is unity. Additionally, chaotic and quasi-periodic behaviors have been found for a range of parameter values after adding the perturbed term. The perturbed system’s quasi-periodic and chaotic behavior have been demonstrated using sensitivity analysis. Finally, picturesque explorations are delivered exposing effects of exist parameters of the gained wave solutions. The majority of the achieved results are derived for the first time. Moreover, the solutions show that the novel schemes are very simple, outright, fruitful and successful and that they can be used in wide range of other nonlinear partial differential equations (NLPDEs), which create different kinds of dynamical features of other wave model.http://www.sciencedirect.com/science/article/pii/S2211379724003127The telecommunication systemBifurcation analysisEnergy orbitSoliton |
| spellingShingle | Fahad Sameer Alshammari Harun-Or Roshid Abdulaziz Saad Alkhorayef A.A. Elsadany A. Aldurayhim Dynamics of solitary waves, chaotic behaviors, and Jacobi elliptic wave solutions in telecommunication systems Results in Physics The telecommunication system Bifurcation analysis Energy orbit Soliton |
| title | Dynamics of solitary waves, chaotic behaviors, and Jacobi elliptic wave solutions in telecommunication systems |
| title_full | Dynamics of solitary waves, chaotic behaviors, and Jacobi elliptic wave solutions in telecommunication systems |
| title_fullStr | Dynamics of solitary waves, chaotic behaviors, and Jacobi elliptic wave solutions in telecommunication systems |
| title_full_unstemmed | Dynamics of solitary waves, chaotic behaviors, and Jacobi elliptic wave solutions in telecommunication systems |
| title_short | Dynamics of solitary waves, chaotic behaviors, and Jacobi elliptic wave solutions in telecommunication systems |
| title_sort | dynamics of solitary waves chaotic behaviors and jacobi elliptic wave solutions in telecommunication systems |
| topic | The telecommunication system Bifurcation analysis Energy orbit Soliton |
| url | http://www.sciencedirect.com/science/article/pii/S2211379724003127 |
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