Solving Skyrmions

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We find exact solutions for Skyrmions for the Skyrme-like models. Constructing first the recursion formulae at small and large distance behavior, we proceed by implementing these constraints to a chosen parametrization of the solutions. The procedure is applied to the spherically symmetric hedgehog solution and to topological number N > 1 solutions based on rational maps.
16 pages (LATEX), jhep.cls, no figure

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