Superperiodic and Periodic Waves in a Magnetized Electron-Positron-Ion Quantum Plasma Under the KP and the mKP Equations

The Kadomtsev-Petviashvili (KP) equation and modified Kadomtsev-Petviashvili (mKP) equation play pivotal roles in analyzing nonlinear wave phenomena, particularly in plasma physics. Previous studies have revealed the existence of supernonlinear waves, characterized by unique phase plot topologies and significantly larger amplitudes. Researchers have increasingly utilized the quantum hydrodynamic (QHD) model to investigate wave propagation in quantum plasma mediums. Correctly adjusting the Bohm potential within the QHD model is crucial for accurate analysis. This work investigates nonlinear and supernonlinear waves in electron-positron-ion quantum plasma under the KP and mKP equations using the latest prefactor of Bohm potential in the QHD model, aiming to advance our understanding of plasma physics and quantum plasmas.