2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116725The statistical properties of the Salerno model is investigated. In particular, a comparison between the coherent and partially coherent wave modes is made for the case of a random phased wave packet. It is found that the random phased induced spectral broadening gives rise to damping of instabilities, but also a broadening of the instability region in quasi-particle momentum space. The results can be of significance for condensation of magnetic moment bosons in deep optical lattices.3 pages, 2 figure, to appear in Physical Review AChaotic Dynamicstext