Arbitrary amplitude dust–ion acoustic nonlinear and supernonlinear wave structures in a magnetized five components plasma

Abstract

We have applied the Sagdeev pseudo-potential approach and phase portrait analysis to confirm the existence of different dust-ion acoustic (DIA) nonlinear wave structures in a collisionless magnetized plasma. The constituents of the present magnetized plasma are negative immobile dust particulates, non-isothermal positrons, nonthermal electrons, isothermal electrons and adiabatic warm ions. The plasma system contains eleven parameters and the nonlinear waves have been studied through the compositional parameter spaces consisting of these eleven parameters. The effects of these parameters on the amplitude of the nonlinear wave structures have also been investigated. We have extensively discussed the existence of negative potential solitary waves (NPSWs), positive potential solitary waves (PPSWs), positive potential supersolitons (PPSSs), negative potential double layers (NPDL) and supernonlinear periodic waves. We have also analysed the coexistence of PPSWs and NPSWs, coexistence of NPSWs and PPSSs, coexistence of NPDL and PPSSs. For the increasing value of any one of the parameters $n_{pc}$, $n_{sc}$ and $\sigma _{sc}$, there exists a sequence of NPSWs converging to the double layer solution of the same polarity, whereas it is observed that a sequence of NPSWs converging to the double layer solution for decreasing value of any one of the parameters $\beta _{e}$, $\sigma _{pc}$ and $l_{z}$. Therefore, the amplitude of the NPDL solution can be regarded as an upper bound of the amplitude of the sequence of the NPSWs. The dependence of the amplitudes of the PPSWs and PPSSs on the different parameters of the system has also been critically investigated.

Graphic abstract

For the first time, we have considered a magnetized collisionless five components e–p–i–d plasma system to investigate the arbitrary amplitude nonlinear wave structures including soliton with both polarities, double layers, supersolitons and supernonlinear periodic waves. We have also discussed the effects of various physical parameters involved in the system. The results of our present investigation on arbitrary amplitude DIA nonlinear wave structures may be helpful to distinguish the signals obtained from the Jupiter atmosphere or the auroral region of the upper Earth’s ionosphere.