We study magnetic polarons in antiferromagnetic chains by using the one-dimensional Anderson-Hasegawa double-exchange discrete model, and find analytically different families of magnetic polaron compactons. To study stability and nontrivial dynamics of the self-trapped magnetic polarons, we generalize the Anderson-Hasegawa model to allow for a finite spin of the lattice, and investigate different types of stationary states with collinear and canted spin structure, revealing the existence of stable nonmobile collinear solutions as well as stable mobile magnetic polarons having a canted structure.
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