Degeneration of magnetic states of the order parameter relative to the boundary conditions and discrete energy spectrum in ferromagnetic and antiferromagnetic nanotubes

Some exact static solutions of Landau-Lifshitz equations for energy of antiferromagnets and ferromagnets have been found in this work. These solutions can be used for the description of the order parameter distribution in small magnetic particles including nanowires and nanotubes. The degeneration of the order parameter distributions at definite boundary conditions has been shown for the ferromagnetic and antiferromagnetic nanotubes. New 3D exact solutions of Landau-Lifshitz equation has also been found.