New method for rekindling the nonlinear solitary waves in Maxwellian complex space plasma

Abstract

Our interest is to study the nonlinear wave phenomena in complex plasma constituents with Maxwellian electrons and ions. The main reason for this consideration is to exhibit the effects of dust charge fluctuations on acoustic modes evaluated by the use of a new method. A special method (G′/G) has been developed to yield the coherent features of nonlinear waves augmented through the derivation of a Korteweg-de Vries equation and found successfully the different nature of solitons recognized in space plasmas. Evolutions have shown with the input of appropriate typical plasma parameters to support our theoretical observations in space plasmas. All conclusions are in good accordance with the actual occurrences and could be of interest to further the investigations in experiments and satellite observations in space. In this paper, we present not only the model that exhibited nonlinear solitary wave propagation but also a new mathematical method to the execution.

New method for rekindling the explosive waves in Maxwellian space plasmas

“…All other symbols have their usual meanings defined elsewhere [32]. The plasma parameters are now perturbed as…”

“…Overall, studies have been motivated to find the various solitons, double layers, shock waves, electronacoustic waves augmented through the derivation of nonlinear wave dynamics in space plasmas over Mercury, asteroids and comets, as well as on moons' surfaces [24]. Again the shock waves in plasmas, causes by the fluctuation of dust charging, Landau damping, particle reflection on dust grains, have received considerable interest in recent years [31,32]. Because of the polluted massive dust grains in plasmas, observations are inadequate to know the dynamical behaviors of nonlinear waves in astroplasmas centered around their occurrences over cometary tails, interstellar and circumstellar clouds, asteroid zones [33][34][35][36][37][38], etc.…”

“…In fact, being concise and straightforward, the (G′/G) method has been applied to handle the nonlinear wave equations in a direct manner with no requirement for initial or boundary conditions. Recently Das and Sarma [32] customized the technique for the KdV equation and the authors recognized its success in solving for the soliton dynamics thoroughly in astroplasmas; this might be an advanced knowledge yet to be explored expeditiously.…”