Chaos and nonlinear excitations of dust acoustic waves in presence of external magnetic field with nonthermal species

Abstract

Nonlinear evolution and dynamical behavior of dust acoustic waves (DAWs) are examined in a dusty plasma that comprises negatively charged inertial cold dust fluid and nonthermal ions and electrons in presence of external magnetic field. Based on the reductive perturbation technique, the nonlinear dynamics of the DAW is found to be governed by a nonlinear evolution equation (Laedke–Spatschek equation). To illustrate the phase-space dynamics, we propose a nonlinear autonomous dynamical system in the traveling plane wave frame governing from the evolution equation. We found that both compressive and rarefactive soliton structures can exist such that it switches polarity while changing the value of ion nonthermality. The computational results reveal the existence of wide variety of nonlinear structures, namely solitonic, periodic, quasiperiodic and chaotic structures appear in the system that incorporate the complex phenomena of the nonlinear wave. It is found that the relevant physical plasma parameters have rigorous impact on these nonlinear structures. Moreover, Poincaré return map profiles endorse these observed complex characteristics of the DAWs. It is remarked that outcome of present theoretical investigation may provide physical insight into understanding the generation of various types of nonlinear structures in dusty plasma environments, where nonthermal electrons and ions are accountable (e.g., Saturn’s magnetosphere, auroral zone, etc.).

Graphic abstract