ABSTRACT This work presents a study of the coupling between lattice ion vibrations and electron waves in magnetized piezoelectric semiconductor quantum plasmas using the quantum hydrodynamic (QHD) model. A quantum modified dispersion relation has been derived, incorporating the quantum corrections and external magnetic field. A set of nonlinear evolution equations has been established through the application of the two‐time scale theory, and a soliton solution for these coupled nonlinear evolution equations has been obtained using the modified quantum Zakharov equations. The obtained solitons exhibit cusp‐like solitary structures, characterized by sharp, non‐differentiable peaks. The findings reveal that the amplitude of the soliton field increases significantly with particle density, while it decreases with the strength of the magnetic field and piezoelectric coupling coefficient. Inclusion of exchange and correlation potential enhances localization, producing sharper soliton profiles. These findings demonstrate that magnetic field and quantum effects provide effective control over soliton dynamics and wave transmission.
Yadav et al. (Mon,) studied this question.