Effect of Ion Temperature on the Dynamics of Analytical Solitary Wave Solution of the Dust Ion Acoustic Waves for the Damped Forced KdV Equation in q−nonextensive Plasmas
Abstract
This paper examines the dynamical properties of the analytical solitary wave solution of dust ion acoustic (DIA) solitary waves induced by the damped forced Korteweg-de Vries (DFKdV) equation in an unmagnetized collisional dusty plasma that contains neutral particles, q-nonextensive electrons, positively charged ions, and negatively charged dust grains in the presence of an external periodic force. To obtain the damped forced
Korteweg-de Vries (DFKdV) equation, the reductive perturbation approach was developed. It is observed that both the compressive and rarefactive dust-ion acoustic (DIA) solitary-wave solutions are possible for this plasma model. The effects of a number of physical parameters are taken into account: the entropic index (q), dust ion collisional frequency (νid0), traveling wave speed (M), periodic force frequency (ω), ion-to-electron
temperature ratio (σ), the parameter that is the ratio between the unperturbed densities of the dust ions and electrons (μ), the strength and frequency of the external periodic force (f0). It is observed that those parameters have significant effects on the structures of the damped forced dust-ion acoustic solitary waves. The implication of the outcomes of this investigation may be relevant for understanding the dynamics of dust-ionacoustic (DIA) solitary waves in laboratory plasma as well as in space plasma environment.
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