Temporal incoherent solitons supported by a defocusing nonlinearity with anomalous dispersion

Abstract : We study temporal incoherent solitons in noninstantaneous response nonlinear media. Contrarily to the usual temporal soliton, which is known to require a focusing nonlinearity with anomalous dispersion, we show that a highly noninstantaneous nonlinear response leads to incoherent soliton structures which require the inverted situation: In the focusing regime (and anomalous dispersion) the incoherent wave packet experiences an unlimited spreading, whereas in the defocusing regime (still with anomalous dispersion) the incoherent wave packet exhibits a self-trapping. These counterintuitive results are explained in detail by a long-range Vlasov formulation of the problem.
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Physical Review A, American Physical Society, 2012, 86, pp.41801. 〈10.1103/PHYSREVA.86.041801〉
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Claire Michel, Bertrand Kibler, Josselin Garnier, Antonio Picozzi. Temporal incoherent solitons supported by a defocusing nonlinearity with anomalous dispersion. Physical Review A, American Physical Society, 2012, 86, pp.41801. 〈10.1103/PHYSREVA.86.041801〉. 〈hal-00844040〉

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