Dynamical behaviour of nonlinear structures in superthermal plasmas associated with external periodic force
Tóm tắt
The impact of an external periodic force on the characteristics of dust ion-acoustic solitary waves in a superthermal magnetised plasma is investigated. To obtain the forced Zakharov–Kuznetsov (FZK) equation from fundamental governing equations, the well-known reductive perturbation technique is used. Furthermore, the ZK equation is transformed into planar dynamical systems to analyse the phase portrait of the system. Based on the approximated analytical solution of the FZK equation, it is observed that both positive potential compressive and negative potential rarefactive solitons exist in this model. The amplitudes of positive potential solitons are found to increase along with the increase in external periodic force, whereas the amplitudes of negative potential solitons are found to decrease. It is observed that due to the presence of external forced potential, the amplitude of solitons naturally takes on a variety of peak forms, whereas in the absence of this external force, the phenomenon of variety in peak formation does not happen. The results of this present investigation are interesting and may be helpful in understanding nonlinear phenomena in space and astrophysical plasma, such as the ionosphere, terrestrial plasma sheet, mesosphere and lower thermosphere.
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