Abstract

New magnetic structures in the Heisenberg two-dimensional classical spin model are studied. An original substitution is proposed, which allows one to reduce the equations of the model to an integrable system of nonlinear ODEs. The solution can be characterized as a “vortex strip” or an annular vortex. Its distinctiveproperties are the finite size of the existence domain, the limited total energy, and the absence of a vortex center despite the presence of a vortex structure.

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