Dynamics of Ion-Acoustic Waves in a Magnetised Plasma with Two-Temperature Superthermal Electrons

An investigation on the dynamics of electrostatic waves in a magnetised superthermal plasma constituting ions and two-temperature electrons has been presented in this paper. Employing the reductive perturbation method (RPM), we have derived the Zakharov-Kuznetsov (ZK) equation that describes the dynamical behaviour of such waves. The dimensionless model with a planar dynamical system exhibits the basic properties of the nonlinear waves in the system. Considering typical values of parameters, we have presented all possible phase plots for the dynamical systems. It is found that the existing physical parameters greatly influence the fundamental characteristics of ion-acoustic waves (IAWs). The outcome of the present work can be helpful in understanding nonlinear waves and their motion in the superthermal magnetised plasma, where two distinct temperature electrons exist (e.g. Auroral zone plasma, Saturn’s magnetosphere).