Abstract
In outer space physics and astrophysics, there is a considerable amount of anomalous phenomena that support nonextensive particle distribution. This is because of the relevance of gravitational forces (which are long ranged) as well as to a variety of dynamical nonlinear aspects. Here, we investigate the nonlinear properties and the existence conditions of a plasma system consisting of ion fluid as well as electrons and positrons modelled by nonextensive distributions. The numerical analysis of the evolution equation shows that both subsonic and supersonic electrostatic waves may exist. These nonlinear waves admit positive and negative localized structures. The dependence of the latter on the plasma parameters is investigated numerically. (C) 2012 American Institute of Physics. [doi: 10.1063/1.3683003]