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arXiv · 1504.00873

Solitons in a continuous classical Haldane-Shastry spin chain

Tianci Zhou·Michael Stone
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Abstract

Motivated by Polychronakos' discovery that solitons exist in the hydrodynamic equations of continuum version of the Calogero model, we seek solitons in the classical dynamics of a continuum version of the Haldane-Shastry spin chain. We have obtained analytic multi-lump solitary wave solutions for our spin-field equation, and these solutions possess interesting topological features. We have performed numerical collision experiments showing that these solitary waves survive collisions, and thus suggest the existence of true multi-soliton solutions.

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Tianci Zhou, Michael Stone. 2015-04-03. Solitons in a continuous classical Haldane-Shastry spin chain. https://doi.org/10.1016/j.physleta.2015.09.014

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