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- Title
On the oscillations in a nonextensive complex plasma by improved differential transformation method: An application to a damped Duffing equation.
- Authors
Aljahdaly, Noufe H; Alharbi, Maram A; Alharbi, Abrar A; Alharbey, RA; EL-Tantawy, SA
- Abstract
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.
- Subjects
DUFFING equations; NONLINEAR oscillations; OSCILLATIONS; KINEMATIC viscosity; BURGERS' equation; ANALYTICAL solutions; STELLAR oscillations
- Publication
Journal of Low Frequency Noise, Vibration & Active Control, 2023, Vol 42, Issue 3, p1319
- ISSN
1461-3484
- Publication type
Article
- DOI
10.1177/14613484231163947