Nontrivial scattering of localized solitons in a (2+1)-dimensional integrable system

Details Nontrivial scattering of localized solitons in a (2+1)-dimensional integrable system Nontrivial scattering of localized solitons in a (2+1)-dimensional integrable system

1995-10-17

arxiv.org/abs/solv-int/9510004v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9 pages, plainTeX, figure not included To appear in Physics Letters A

Scientific paper

10.1016/0375-9601(95)00782-X

One usually expects localized solitons in integrable systems to interact trivially. There is an integrable (2+1)-dimensional chiral equation which admits multi-soliton solutions with trivial dynamics. This paper describes how to generate explicit solutions representing nontrivial soliton interactions: in particular, a head-on collision of two solitons resulting in $90^\circ$ scattering.

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