Nonlinear unbalanced O waves are localized wave packets that propagate without transversal diffraction broadening and temporal dispersion spreading in nonlinear media with anomalous dispersion. The conical nature of these nonsolitary light bullets allows for an energy refilling mechanism of the nonlinear central core of the wave that renders stationary propagation robust against nonlinear losses.
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Porras et al. (2005) studied this question.
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