Multi-solitons of the half-wave maps equation and Calogero–Moser spin–pole dynamics

@article{Berntson2020MultisolitonsOT,
  title={Multi-solitons of the half-wave maps equation and Calogero–Moser spin–pole dynamics},
  author={Bjorn K Berntson and Rob Klabbers and Edwin Langmann},
  journal={Journal of Physics A},
  year={2020},
  volume={53},
  pages={505702}
}
We consider the half-wave maps (HWM) equation which provides a continuum description of the classical Haldane-Shastry spin chain on the real line. We present exact multi-soliton solutions of this equation. Our solutions describe solitary spin excitations that can move with different velocities and interact in a non-trivial way. We make an ansatz for the solution allowing for an arbitrary number of solitons, each described by a pole in the complex plane and a complex spin variable, and we show… 

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