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 language||English (US)|
|Number of pages||9|
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|State||Published - Nov 6 2015|
ASJC Scopus subject areas
- Physics and Astronomy(all)