Abstract
By using a graded-index optical fiber with a parabolic distribution of the refractive index as an example, it is shown that shock waves of envelopes can arise in optical fibers with a significantly dispersive (frequency-dependent) effective cross-section area of the mode. In principle, the shock wave caused by this dispersion can appear at the leading edge of the wave packet. The possibility of forming soliton pulses in media with a dispersive area of the mode is considered.
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