Nonlinear chiral models and many-dimensional solitons

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Abstract
The problem of obtaining exact, finite-energy, static solutions to the equations of motion of nonlinear chiral SU(2) x SU(2) Lagrangians is investigated in a framework which is independent of the coordinate system for the pion fields. This approach considerably simplifies the derivation of the equations and exhibits clearly the topological nature of the solutions where these are known. Two promising unsolved models are considered and shown to contain (in appropriate limits) previously considered models for which properties of the static solutions have been established.

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