Electron Acoustic Solitary Structures in Nanoparticle Doped Semiconductor Quantum Plasma (2504.03226v1)

Abstract: The study of electron acoustic waves (EAWs) and their associated solitary structure in semiconductor quantum plasma doped with nanoparticle clusters have been carried out. The system consists of cold and hot electrons, holes, and stationary ions. The theory has been built using the quantum hydrodynamic (QHD) model. The dispersion relation for EAWs has been set up. To explore nonlinear behaviour, the perturbation technique has been applied, leading to the Korteweg de Vries (KdV) equation. The analysis demonstrates that quantum effects stabilize wave propagation at higher frequencies while presence of nanoparticles strongly influence wave dispersion at higher frequencies, resulting in greater dispersion. Nonlinear analysis shows that solitons in quantum plasma attain higher amplitudes and broader structures due to quantum effects and with the inclusion of nanoparticles