Abstract
The index of positron superthermality supports on nonlinearly new structures such as solitons, rational, explosive, shocklikes, and periodical propagating waves that exist for critical behavior characterized by the MKP equation in D-F earth ion plasma pairs with superthermal electrons-positrons have been deliberated. Also, the new solutions have been revealed that periodic, trigonometric, explosive, rational and hyperbolic solutions may applicable in ionosphere plasmas. The proposed method is robust in the dynamical flow of fluids. To investigate the superthermal index effects on the nonlinear features in this plasmas model, the MKP equation been solved by Riccati-Bernoulli (RB) sub-ODE method. The enforcement of our model solutions might be especially interesting in the new earth's ionosphere zone environments observations. The proposed method can easily used to solve many other model arising in applied science.