Dynamical behavior of solitons of the perturbed nonlinear Schrödinger equation and microtubules through the generalized Kudryashov scheme
The perturbed nonlinear Schrödinger (NLS) equation and the nonlinear radial dislocations model in microtubules (MTs) are the underlying frameworks to simulate the dynamic features of solitons in optical fibers and the functional aspects of microtubule dynamics. The generalized Kudryashov method is u...
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| Language: | English |
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Elsevier
2022-12-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722006933 |
| _version_ | 1797985335265722368 |
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| author | M. Ali Akbar Abdul-Majid Wazwaz Forhad Mahmud Dumitru Baleanu Ripan Roy Hemonta Kumar Barman W. Mahmoud Mohammed A. Al Sharif M.S. Osman |
| author_facet | M. Ali Akbar Abdul-Majid Wazwaz Forhad Mahmud Dumitru Baleanu Ripan Roy Hemonta Kumar Barman W. Mahmoud Mohammed A. Al Sharif M.S. Osman |
| author_sort | M. Ali Akbar |
| collection | DOAJ |
| description | The perturbed nonlinear Schrödinger (NLS) equation and the nonlinear radial dislocations model in microtubules (MTs) are the underlying frameworks to simulate the dynamic features of solitons in optical fibers and the functional aspects of microtubule dynamics. The generalized Kudryashov method is used in this article to extract stable, generic, and wide-ranging soliton solutions, comprising hyperbolic, exponential, trigonometric, and some other functions, and retrieve diverse known soliton structures by balancing the effects of nonlinearity and dispersion. It is established by analysis and graphs that changing the included parameters changes the waveform behavior, which is largely controlled by nonlinearity and dispersion effects. The impact of the other parameters on the wave profile, such as wave speed, wavenumber, etc., has also been covered. The results obtained demonstrate the reliability, efficiency, and capability of the implemented technique to determine wide-spectral stable soliton solutions to nonlinear evolution equations emerging in various branches of scientific, technological, and engineering domains. |
| first_indexed | 2024-04-11T07:16:33Z |
| format | Article |
| id | doaj.art-445615a6534d4f88b50a52d79d035620 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-11T07:16:33Z |
| publishDate | 2022-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-445615a6534d4f88b50a52d79d0356202022-12-22T04:37:56ZengElsevierResults in Physics2211-37972022-12-0143106079Dynamical behavior of solitons of the perturbed nonlinear Schrödinger equation and microtubules through the generalized Kudryashov schemeM. Ali Akbar0Abdul-Majid Wazwaz1Forhad Mahmud2Dumitru Baleanu3Ripan Roy4Hemonta Kumar Barman5W. Mahmoud6Mohammed A. Al Sharif7M.S. Osman8Department of Applied Mathematics, University of Rajshahi, BangladeshDepartment of Mathematics, Saint Xavier University, Chicago, IL 60655, USADepartment of Applied Mathematics, Noakhali Science and Technology University, BangladeshDepartment of Mathematics, Cankaya University, 06530 Ankara, Turkey; Institute of Space Sciences, Magurele, 077125 Bucharest, Romania; Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan; Corresponding authors at: Department of Mathematics, Cankaya University, 06530 Ankara, Turkey (D. Baleanu). Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt (W. Mahmoud) Department of Mathematics, Faculty of Applied Science, Umm Al-Qura University, Makkah, 21955, Saudi Arabia (M.S. Osman).Department of Mathematics, Bangamata Sheikh Fojilatunnesa Mujib Science & Technology University, BangladeshDepartment of Computer Science and Engineering, University of Creative Technology Chittagong, BangladeshDepartment of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt; Corresponding authors at: Department of Mathematics, Cankaya University, 06530 Ankara, Turkey (D. Baleanu). Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt (W. Mahmoud) Department of Mathematics, Faculty of Applied Science, Umm Al-Qura University, Makkah, 21955, Saudi Arabia (M.S. Osman).Department of Mathematics, Faculty of Applied Science, Umm Al-Qura University, Makkah 21955, Saudi ArabiaDepartment of Mathematics, Faculty of Applied Science, Umm Al-Qura University, Makkah 21955, Saudi Arabia; Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt; Corresponding authors at: Department of Mathematics, Cankaya University, 06530 Ankara, Turkey (D. Baleanu). Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt (W. Mahmoud) Department of Mathematics, Faculty of Applied Science, Umm Al-Qura University, Makkah, 21955, Saudi Arabia (M.S. Osman).The perturbed nonlinear Schrödinger (NLS) equation and the nonlinear radial dislocations model in microtubules (MTs) are the underlying frameworks to simulate the dynamic features of solitons in optical fibers and the functional aspects of microtubule dynamics. The generalized Kudryashov method is used in this article to extract stable, generic, and wide-ranging soliton solutions, comprising hyperbolic, exponential, trigonometric, and some other functions, and retrieve diverse known soliton structures by balancing the effects of nonlinearity and dispersion. It is established by analysis and graphs that changing the included parameters changes the waveform behavior, which is largely controlled by nonlinearity and dispersion effects. The impact of the other parameters on the wave profile, such as wave speed, wavenumber, etc., has also been covered. The results obtained demonstrate the reliability, efficiency, and capability of the implemented technique to determine wide-spectral stable soliton solutions to nonlinear evolution equations emerging in various branches of scientific, technological, and engineering domains.http://www.sciencedirect.com/science/article/pii/S2211379722006933Kerr law nonlinearityNonlinear evolution equationsSoliton solutions3D wave envelopes |
| spellingShingle | M. Ali Akbar Abdul-Majid Wazwaz Forhad Mahmud Dumitru Baleanu Ripan Roy Hemonta Kumar Barman W. Mahmoud Mohammed A. Al Sharif M.S. Osman Dynamical behavior of solitons of the perturbed nonlinear Schrödinger equation and microtubules through the generalized Kudryashov scheme Results in Physics Kerr law nonlinearity Nonlinear evolution equations Soliton solutions 3D wave envelopes |
| title | Dynamical behavior of solitons of the perturbed nonlinear Schrödinger equation and microtubules through the generalized Kudryashov scheme |
| title_full | Dynamical behavior of solitons of the perturbed nonlinear Schrödinger equation and microtubules through the generalized Kudryashov scheme |
| title_fullStr | Dynamical behavior of solitons of the perturbed nonlinear Schrödinger equation and microtubules through the generalized Kudryashov scheme |
| title_full_unstemmed | Dynamical behavior of solitons of the perturbed nonlinear Schrödinger equation and microtubules through the generalized Kudryashov scheme |
| title_short | Dynamical behavior of solitons of the perturbed nonlinear Schrödinger equation and microtubules through the generalized Kudryashov scheme |
| title_sort | dynamical behavior of solitons of the perturbed nonlinear schrodinger equation and microtubules through the generalized kudryashov scheme |
| topic | Kerr law nonlinearity Nonlinear evolution equations Soliton solutions 3D wave envelopes |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722006933 |
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