Oblique ion-acoustic cnoidal waves in two temperature superthermal electrons magnetized plasma

Abstract

A study is presented for the oblique propagation of ion acoustic cnoidal waves in a magnetized plasma consisting of cold ions and two temperature superthermal electrons modelled by kappa-type distributions. Using the reductive perturbation method, the nonlinear Korteweg de-Vries equation is derived, which further gives the solutions with a special type of cnoidal elliptical functions. Both compressive and rarefactive structures are found for these cnoidal waves. Nonlinear periodic cnoidal waves are explained in terms of plasma parameters depicting the Sagdeev potential and the phase curves. It is found that the density ratio of hot electrons to ions mu significantly modifies compressive/refractive wave structures. Furthermore, the combined effects of superthermality of cold and hot electrons kappa(c), kappa(h), cold to hot electron temperature ratio sigma, angle of propagation and ion cyclotron frequency omega(ci) have been studied in detail to analyze the height and width of compressive/refractive cnoidal waves. The findings in the present study could have important implications in understanding the physics of electrostatic wave structures in the Saturn's magnetosphere where two temperature superthermal electrons are present. (C) 2014 AIP Publishing LLC.