Solitons in a continuous classical Haldane-Shastry spin chain

Tianci Zhou, Michael Stone

Research output: Contribution to journalArticlepeer-review


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 the solitary waves survive collisions, and thus suggest the existence of true multi-soliton solutions.

Original languageEnglish (US)
Pages (from-to)2817-2825
Number of pages9
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number43-44
StatePublished - Nov 6 2015

ASJC Scopus subject areas

  • General Physics and Astronomy


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