The problem of soliton propagation in media with time dependent second-order dispersion is considered. We present analytical and numerical results for the variation of the soliton parameters and characteristics of the emitted radiation by the soliton, for the cases of a periodic or random modulation of the dispersion. In the case of a periodically modulated dispersion it is shown that resonant emission of linear waves is possible. The law of radiative decay of the soliton is found in both cases. Applications to the propagation of light pulses in optical fibers with variable dispersion are discussed.
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Abdullaev et al. (1994) studied this question.
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