Abstract
Soliton propagation is usually described in the ``slowly varying envelope approximation'' regime, which is not applicable for ultrashort pulses. We present theoretical results and numerical simulations for both nonlinear Schr\"odinger and parametric $({\ensuremath{\chi}}^{(2)})$ ultrashort solitons in the ``generalized few-cycle envelope approximation'' regime, demonstrating their altered propagation.
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