HELICON SOLITONS IN A LAYERED SEMICONDUCTOR PLASMA VIA ZAKHAROV EQUATIONS

In the present work we investigate the propagation of helicon envelope solitons in a layered semiconductor plasma. The nonlinear evolution e quations governing the propagation of these envelope solitons is the s et of Zakharov equations (which are a more generalized form of the non linear Schrodinger equation). The set of equations which have a known envelope soliton solution are derived and the relationship between var ious parameters entering the system is established. In order to invest igate the propagation of helicon envelope solitons in a layered medium we use the standard Kronig-Penney model along with its relevant bound ary conditions. These boundary conditions are used for the envelope so liton solution thereby connecting the envelope soliton fields across t he layers. This in turn leads to a nonlinear dispersion relation which relates the nonlinear analogue of the Bloch wave number with differen t parameters. We have numerically investigated the dependence of the n onlinear Bloch wave number on the propagation frequency and have estab lished a propagation band and gap structure for the helicon envelope s oliton in a layered semiconductor plasma.