Abstract
Internal modes and internal oscillation of ten-pearled necklace solitons in Bessel photonic lattices with defocusing Kerr nonlinearity are investigated after the derivation of solutions of such solitons and the analysis of their stability. It is shown that the internal modes have both real and imaginary parts in such cases, which is different from the one-dimensional case. While white noise gives rise to the jitter of the intensity of stable necklace solitons, the stable solitons perform long-distance and quasi-periodic oscillation of intensity and shape under the perturbation of internal modes.
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