We present a theoretical and numerical study of the dynamics of diffractionless three-dimensional (3D) extremely short optical pulses with a Bessel cross-section in an optically anisotropic medium with a spatially modulated refractive index (known as photonic crystal) based on carbon nanotubes of the zig-zag type. The nonlinear absorption is taken into account based on experimental data, as well as the effects associated with the external pump field. Through numerical simulations, it was found that in such an optically anisotropic photonic crystal, Bessel pulses propagate stably over times of several dispersion lengths, while dissipative solitons arise during the evolution of pulses.The influence of the parameters of the anisotropic photonic crystal-e.g., the depth and period of modulation of the refractive index and anisotropy parameters-on the evolution of pulses, in particular, their shape and group velocity, is established.

We have considered the problem of evolution of the twodimensional few cycle optical pulses (FCOP) inside a photonic crystal made of carbon nanotubes. It has been shown that pulse propagation is stable inside the considered environment and it is possible to control and to change the velocity of the pulse propagation by photonic crystal parameters changing.

We consider the task about few-circle optical pulses dynamics (light bullets) in the inhomogeneous environment of carbon nanotubes in a resonant optical cavity. Our calculations show that the optical resonator can create conditions, which can provide monitoring and controlling the shape and the velocity of the optical pulse. We show that the propagation of the light bullets is stable.

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The numerical research of the photonic droplets dynamic in a carbon nanotube medium has been carried out. A stable propagation of these pulses has been detected at times down to tens of picoseconds. The propagation features of pulses at various parameters (velocity and pulse amplitude) have been shown as well.Photonic droplets are currently an object of great interest to non-linear optic researchers, due to their unusual dynamic of propagation and their properties [1]. Photonic droplets are interconnected, limited states of light that are resistant to size and shape changes, due to the balance of competing, attractive and repulsive forces. These forces arise by way of electromagnetic fields of a non-linear, non-local optical medium.