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Interactions of domain walls (DWs) are analyzed with relevance to formationof stationary bubbles (complexes of two DWs) and complexes of many domains inone dimensional systems. I investigate the domain structures in ferromagnetswhich are described with the Landau-Lifshitz equation as well as the domains incritical systems described with the Ginzburg-Landau equation. Supplementingprevious author studies on the creation of hard bubbles [formed by one Bloch DWand one Neel (Ising) DW] in the presence of an external (magnetic) field, thesoft bubbles consisting of two Bloch DWs or two Neel (Ising) DWs are studied indetail. The interactions of two DWs of the same kind are studied in theframework of a perturbation calculus.

Domain-wall complexes in 1D ferromagnets and critical media