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Scattering of periodic solitons

R. J. Cova·W. J. Zakrzewski
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Abstract

With the help of numerical simulations we study N-soliton scattering (N=3,4) in the (2+1)-dimensional CP^1 model with periodic boundary conditions. When the solitons are scattered from symmetrical configurations the scattering angles observed agree with the earlier π/N predictions based on the model on R_2 with standard boundary conditions. When the boundary conditions are not symmetric the angles are different from π/N. We present an explanation of our observed patterns based on a properly formulated geodesic approximation.

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R. J. Cova, W. J. Zakrzewski. 2003-08-25. Scattering of periodic solitons. https://arxiv.org/abs/hep-th/0308161

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