The positron nonthermality contributions on nonlinear wave aspects of periodic solitary, shocklikes, rational, and explosive waves which exists for the critical features depicted by modified KP equation in earths space of regions D and F ionic plasma pairs with nonthermal fast positrons have been studied. Furthermore, the derived solutions have been disclosed that hyperbolic, periodic, trigonometric, rational and explosive forms may be usable in plasma of ionosphere. This technique is sound in the fluid flow models. To explore the nonthermal effects on the nonlinear properties in this physical mode, the modified KP equation has been examined mathematically with the method of Riccati-Bernoulli (RB) sub-ODE. The obtained forms may leading realizations in the ionosphere fluids investigations and observations.