Nontrivial soliton scattering in an integrable chiral model in (2+1)-dimensions

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Abstract
Soliton solutions of an integrable chiral model in (2+1)‐dimensions are studied. Through the solution of a ‘‘Riemann problem with zeros’’ solitons of this model have already been found [R. S. Ward, J. Math. Phys. 29, 386 (1988)] which scatter in a trivial manner. By exploiting a connection with the O(3) σ model, it is shown that the model also has solitons that are not contained in the above construction, and whose scattering properties are highly nontrivial. Soliton scattering is also discussed for a σ model which interpolates between this integrable model and the SU(2) chiral σ model.