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We investigate radiation of the solitary waves in the first band gap of the waveguide array with a defocusing nonlinearities of different types (Kerr nonlinearity and saturating nonlinearity). We confirm recent findings that gap solitons (GSs) are unstable for their eigenfrequencies around the middle of the band gap for Kerr nonlinearity. The instability is mediated by four-wave mixing process and appears in the form of radiation of solitons into mode continua of the upper and lower bands. We find that this soliton radiation is reduced (and even suppressed completely) in case of a saturating nonlinearity, resulting in substantial stabilization of the GSs.
CitationGaizzuskas, E.; Savickas, A.; Staliunas, K. Gap soliton in a waveguide array with a saturating defocusing nonlinearity. "Applied physics B. Lasers and optics", 01 Març 2014, vol. 114, núm. 4, p. 483-488.
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