NONLINEAR LOCALIZED WAVES IN A MEDIUM WITH NONLOCAL INTERACTION

Soliton solutions are found for nonlinear integro-differential equatio ns with a type lambda/(tau - tau') kernel used to describe particle tu nneling and magnetic and superconducting vortices in a medium with non local interaction. The Fourier transform method is applied to derive a symptotic formulas for even and odd localized solutions. Analytical so lutions are found for particular parameter values. A complete pattern is constructed for the behavior of soliton solutions in an arbitrary r ange of the interaction parameter lambda by means of numerical calcula tions.