Abstract
In this paper we investigate the existence of soliton soluti ons for a modified form of the Zakharov equations describing modulational instabilities i n quantum plasmas. In particular, we show that quantum effects suppress the easily identifiable s oliton 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 Schrodinger equation. By considering the simultaneous adiabatic and semiclassical limits, we obtain more detailed results through a variational solutio n. Specifically these results show that quantum effects enhance the dispersion and smear out the classical one soliton solution.
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