Coriolis Force and Chaos in (2+1)-Dimensional Ion-Acoustic Waves with Two-Temperature Electron in Superthermal Plasma

We investigate the properties of ion-acoustic waves (IAWs) in a magnetized plasma composed of cold ions and kappa-distributed electrons at two temperatures (cold and hot). The reductive perturbative method is implemented to derive the Davey-Stewartson (DS) equations. Through the analysis of the bifurcation theory, the effects of Coriolis force and superthermal parameter are addressed in the phase orbit analysis. Using numerical simulations, the impact of changes in various plasma parameters is discussed on the ion-acoustic periodic (IAP) and ion-acoustic super-periodic (IASP) nonlinear solutions of the DS equations. We further investigated the chaotic behaviors of the IAWs corresponding to the perturbed systems of the DS equations with the help of the time series plot, Poincaré section and Lyapunov exponent. In chaotic motions of perturbed IAWs via a quasi-periodic pathway to chaos, the frequency \(\omega \) and the amplitude of the external periodic disturbance \(f_{0}\) act as the switching parameters. This work may be relevant to understanding the dynamic of IAWs in astrophysical and space plasmas like in Saturn’s magnetosphere where the combined effects of high energy particles and the Coriolis force can exist.