Nonlinear dynamics associated with rotating magnetized electron-positron-ion plasmas

By using the hydrodynamic equations of electrons and positrons and Poisson equation with stationary ions, a three-dimensional extended Zakharov-Kuznetsov (EZK) equation is derived for small but finite amplitude nonlinear Langmuir structures (solitary and shock pulses) The EZK equation is solved analytically and the features of the nonlinear excitations are investigated numerically. Furthermore, the propagation condition for the nonlinear structures is examined.