Abstract
The nonlinear dynamics of low-frequency (in comparison with electron gyro-frequency) electrostatic disturbances in nonuniform dusty electron-positron magnetoplasma with equilibrium sheared flow is investigated. In the linear limit, a local dispersion relation has been derived and analyzed. On the other hand, in the nonlinear case, the temporal behavior of the nonlinear dissipative system can be expressed as a set of three coupled nonlinear equations, which are a generalization of Lorenz-Stenflo equations that admit chaotic trajectories. The results of our present investigation should be very helpful to understand plasma turbulence and wave phenomena in several laboratory and astrophysical plasma systems.