Inelastical effects in classical field-theoretical models with confinement

Abstract

Solitons in a class of relativistic field-theoretical models with confinement of spreading waves are considered and their stability is proven under certain conditions for any space dimension. Njmerical studies are presented about the collision of solitons and antisolitons in one spatial dimension. In these processes different types of localized structures are generated which are pulsating in time and appear to be stable. The interaction of these new objects, called ss- and sa-breathers, with solitons and antisolitons is also studied.