Nonlinear oscillations in dusty plasmas in the presence of nonisothermal trapped electrons

The recent analysis of the excitation of new dust Bernstein–Greene–Kruskal (DBGK) modes in a noncollisional dusty plasma [Tribeche et al., Phys. Plasmas 7, 4013 (2000)] is extended to include self-consistently the effects of trapped electrons. A kinetic analysis is presented. Highly nonlinear differential equations are obtained and solved numerically leading to some new and original results. The dust density is found to be highly perturbed in the region of the DBGK soliton localization. The dust particles are locally expelled and pushed out of this region, a phenomenon which can generate intense and spiky electric fields in the medium. Furthermore, the results show that under certain conditions double layers (DLs) as well as localized cusped solitons are found to coexist. Such two-level structures are unique to the influence of dust and reflected particles and usually the DLs and the solitons do not coexist in the same parameter regime.