In view of numerical models of portraying the multidimensional soliton-type structures in complex media (ionosphere air, hydrosphere, ionospheric and magnetosphere plasma) the nonlinear elements of electromagnetic singular vortices and the wave structures have been considered. Nonlinear wave constructions can be a simply syndication vortex, a cross over vortex chain, and additionally a longitudinal vortex way against the foundation of an inhomogeneous zonal breeze, contingent upon the shear stream speed profile. The amassing of such vortices in the ionospheric medium can produce an unequivocally violent state. The communication of soliton type multidimensional designs in the complicated media, portrayed by DNSL class of conditions considering of dispersive and dissipative impacts are concentrated mathematically and intriguing outcomes are gotten.. Singular waves were found by the maritime modeler John Scott Russell in 1834. At the point when a channel barge hit a submerged block and halted out of nowhere, Russell expected that the bow wave would disintegrate into bunches of little waves through scattering. All things being equal, a smooth, chime formed peak maybe a large portion of a meter tall, autonomous of the cross-channel heading, risen up out of the foam. Riding a horse, he followed the constant, consistently engendering peak for a few kilometers until he lost it 'in the windings of the trench'