Chaotic dynamics of dust-ion acoustic wave in magnetized dusty plasma with anisotropic ion pressure

The linear and weakly nonlinear dust-ion-acoustic wave propagation obliquely to an external magnetic field is studied in a magnetized dusty plasma which consists of magnetized fluid ions bearing with anisotropic pressure, suprathermal electrons, and static dust grains. In the linear regime, the magnetized dusty plasma supports the propagation of the fast electrostatic dust-ion-cyclotron (EDIC) and the slow electrostatic dust-ion-acoustic (DIA) modes. The effects of different parameters on the two modes are outlined. In the weakly nonlinear regime, a reductive perturbative technique (RPT) is used to derive a modified equation of propagation of the electrostatic potential modified by the presence of a magnetic field and the ion pressure anisotropy. Particular equations of propagations are covered in the case of unmagnetized anisotropic plasma and the case of a strong magnetic field. It is found numerically that the modified equation of propagation admits compressive and rarefactive solitary waves with amplitudes and widths values increase with the increase of the values of the ion perpendicular pressure. The strength of the magnetic field only affects the width of the two structures. For particular values of plasma parameters, periodic, quasi-periodic, and chaotic nonlinear oscillations are numerically investigated. This chaotic behavior is corroborated by the positivity of one of the Lyapunov exponents.