Cusp solitons in piezoelectric semiconductor plasmas

Abstract

Using the semi-classical model, the piezoelectric coupling of Langmuir waves with lattice ion vibrations has been studied in linear as well as nonlinear regime in n-type piezoelectric semiconductors. It is shown that there is not any significant coupling in the linear regime. In the nonlinear regime, we have developed a set of coupled nonlinear evolution equations whose solution leads to cusp solitons. These equations are analyzed numerically to investigate the conditions for the significant coupling using the standard parameters for n-type piezoelectric semiconductor plasmas