Soliton structures of a wave field with an arbitrary number of oscillations in nonresonance media

A new class of solitary solutions for a wave field is found. This class describes soliton-like structures of a circularly polarized radiation that propagate in a nonresonance medium and which involve an arbitrary number of field oscillations. A feature peculiar to these solutions is that they undergo a smooth transformation from solitons of the Schrödinger type, which correspond to long pulses involving many oscillations, to extremely short visible pulses, which, in fact, do not extend beyond one period. Realizability of such soliton structures is considered for a field of linear polarization, and their structural stability is shown numerically.