  Interaction of domain walls (DWs) in ferromagnetic stripes is studied with
relevance to the formation of stable complexes of many domains. Two DW system
is described with the Landau-Lifshitz-Gilbert equation including regimes of
narrow and wide stripes which correspond the presence of transverse and vortex
DWs. The DWs of both kinds are characterized with their chiralities (the
direction of the magnetization rotation in the stripe plane) and polarities
(the magnetization orientation in the center of a vortex and/or halfvortices),
hence, their interactions are analyzed with dependence on these properties. In
particular, pairs of the DWs of opposite or like both chiralities and
polarities are investigated as well as pairs of opposite (like) chiralities and
of like (opposite) polarities. Conditions of the creation of stationary
magnetic bubbles built of two interacting DWs are formulated with relevance to
the situations of presence and absence of the external magnetic field.
