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The propagation dynamics of high-intensity ultrashort light pulses at some basic propagation regimes in bulk nonlinear medium is presented. The pulse propagation behavior is studied by numerical simulations of mathematical models at realistic physical conditions. The spatiotemporal dynamics of ultrashort light pulses within dispersive equations like generalized (3+1)D nonlinear Schrodinger equation and (3+1)D nonlinear envelope femto- and atto-equations as governing equations is revealed and summarized.
The complex structure and the presence of terms with different physical sense requires the coordinate splitting to be preceded by splitting by physical factors (processes). In contrast to the coordinate splitting this kind of splitting can be exact in some nodes and in the intervals it can be controlled. We solve the atto-equation in multifrequency mode by using Filon’s quadratures for discrete Fourier transform.
The obtained results are reliable and give good predictions for the material quantities and dynamics of the ultrashort light pulses in nonlinear media.