Abstract
•The bifurication analysis of dynamical system of MNLSE, Pinpoint the kinds of solutions closed the equilibrium points. A novel form of rogue wave in unstable regions and dark soliton in stable regions are obtained.
In this manuscript, a modified nonlinear Schrodinger equation (MNLSE) is derived for an unmagnetized collisionless three components plasma containing superthermal electrons, Boltzmann distribution of positrons and relativistic ions. By bifurcation of dynamical system, we determined the stable and unstable regions and predicted the kinds of solutions of MNLSE. This solutions reveal dark soliton in heteroclinic areas and rogue wave in unstable regions. A novel form of rogue wave is obtained also the effects of viscosity, superthermal electron κ, ratio of electron to positron temperature, ratio of ion to electron temperature and the density of positron are illustrated with some graphics in two-dimensional and three-dimensional. The derived results have numerous applications in plasma physics and it could be much importance in predicting and enriching rogue wave happening in dissipation plasma physics.