出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：In this paper we investigate the existence of soliton solutions for a modified form of the Zakharov
equations describing modulational instabilities in quantum plasmas. In particular, we
show that quantum effects suppress the easily identifiable soliton solutions, obtained in the adiabatic
limit. In this limit, the quantum Zakharov equations become a coupled fourth order system,
not amenable to straightforward integration as it was the case for the integrable nonlinear
Schrödinger equation. By considering the simultaneous adiabatic and semiclassical limits, we
obtain more detailed results through a variational solution. Specifically these results show that
quantum effects enhance the dispersion and smear out the classical one soliton solution.
