On the oscillations in a nonextensive complex plasma by improved differential transformation method: An application to a damped Duffing equation
In this study, the nonlinear damping oscillations in a complex non-Maxwellian plasma are investigated. For this purpose, the set of fluid equations of the present plasma model is reduced to the Burger-modified Korteweg De Vries equation (BmKdV) equation using a reductive perturbation technique. Usin...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2023-09-01
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| Series: | Journal of Low Frequency Noise, Vibration and Active Control |
| Online Access: | https://doi.org/10.1177/14613484231163947 |
| _version_ | 1797733447802814464 |
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| author | Noufe H Aljahdaly Maram A Alharbi Abrar A Alharbi RA Alharbey SA EL-Tantawy |
| author_facet | Noufe H Aljahdaly Maram A Alharbi Abrar A Alharbi RA Alharbey SA EL-Tantawy |
| author_sort | Noufe H Aljahdaly |
| collection | DOAJ |
| description | In this study, the nonlinear damping oscillations in a complex non-Maxwellian plasma are investigated. For this purpose, the set of fluid equations of the present plasma model is reduced to the Burger-modified Korteweg De Vries equation (BmKdV) equation using a reductive perturbation technique. Using the traveling wave transformation, the BmKdV equation can be reduced to a damped Duffing equation. The numerical solutions to the damped Duffing equation are obtained using multistage differential transformation method (MsDTM). Also, we compared the obtained results to the semi-analytical approximations using the Padé differential transformation (PDTM) method and numerical solution, by the 4th-order Rung Kutta (RK4) method and analytical solution by He’s frequency method. The impact of relevant plasma parameters, namely, negative dust concentrations and ion kinematic viscosity on the profile of dust ion-acoustic oscillations are examined. The suggested mathematical approaches can help many authors for explaining the mystery of their laboratory results. Moreover, the suggested numerical method can be applied for solving higher order nonlinearity oscillations for a long domain. |
| first_indexed | 2024-03-12T12:29:16Z |
| format | Article |
| id | doaj.art-fdfa6e4d375743cea4fe38e3a97cfc6c |
| institution | Directory Open Access Journal |
| issn | 1461-3484 2048-4046 |
| language | English |
| last_indexed | 2024-03-12T12:29:16Z |
| publishDate | 2023-09-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Journal of Low Frequency Noise, Vibration and Active Control |
| spelling | doaj.art-fdfa6e4d375743cea4fe38e3a97cfc6c2023-08-29T18:49:11ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462023-09-014210.1177/14613484231163947On the oscillations in a nonextensive complex plasma by improved differential transformation method: An application to a damped Duffing equationNoufe H AljahdalyMaram A AlharbiAbrar A AlharbiRA AlharbeySA EL-TantawyIn this study, the nonlinear damping oscillations in a complex non-Maxwellian plasma are investigated. For this purpose, the set of fluid equations of the present plasma model is reduced to the Burger-modified Korteweg De Vries equation (BmKdV) equation using a reductive perturbation technique. Using the traveling wave transformation, the BmKdV equation can be reduced to a damped Duffing equation. The numerical solutions to the damped Duffing equation are obtained using multistage differential transformation method (MsDTM). Also, we compared the obtained results to the semi-analytical approximations using the Padé differential transformation (PDTM) method and numerical solution, by the 4th-order Rung Kutta (RK4) method and analytical solution by He’s frequency method. The impact of relevant plasma parameters, namely, negative dust concentrations and ion kinematic viscosity on the profile of dust ion-acoustic oscillations are examined. The suggested mathematical approaches can help many authors for explaining the mystery of their laboratory results. Moreover, the suggested numerical method can be applied for solving higher order nonlinearity oscillations for a long domain.https://doi.org/10.1177/14613484231163947 |
| spellingShingle | Noufe H Aljahdaly Maram A Alharbi Abrar A Alharbi RA Alharbey SA EL-Tantawy On the oscillations in a nonextensive complex plasma by improved differential transformation method: An application to a damped Duffing equation Journal of Low Frequency Noise, Vibration and Active Control |
| title | On the oscillations in a nonextensive complex plasma by improved differential transformation method: An application to a damped Duffing equation |
| title_full | On the oscillations in a nonextensive complex plasma by improved differential transformation method: An application to a damped Duffing equation |
| title_fullStr | On the oscillations in a nonextensive complex plasma by improved differential transformation method: An application to a damped Duffing equation |
| title_full_unstemmed | On the oscillations in a nonextensive complex plasma by improved differential transformation method: An application to a damped Duffing equation |
| title_short | On the oscillations in a nonextensive complex plasma by improved differential transformation method: An application to a damped Duffing equation |
| title_sort | on the oscillations in a nonextensive complex plasma by improved differential transformation method an application to a damped duffing equation |
| url | https://doi.org/10.1177/14613484231163947 |
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