Temporal incoherent solitons supported by a defocusing nonlinearity with anomalous dispersion

摘要

We study temporal incoherent solitons in noninstantaneous response nonlinear media. Contrarily to the usualntemporal soliton, which is known to require a focusing nonlinearity with anomalous dispersion, we show thatna highly noninstantaneous nonlinear response leads to incoherent soliton structures which require the invertednsituation: In the focusing regime (and anomalous dispersion) the incoherent wave packet experiences an unlimitednspreading, whereas in the defocusing regime (still with anomalous dispersion) the incoherentwave packet exhibitsna self-trapping. These counterintuitive results are explained in detail by a long-range Vlasov formulation of thenproblem.