TY - JOUR
T1 - Solitons in a continuous classical Haldane-Shastry spin chain
AU - Zhou, Tianci
AU - Stone, Michael
N1 - Publisher Copyright:
© 2015 Elsevier B.V. all rights reserved.
PY - 2015/11/6
Y1 - 2015/11/6
N2 - 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.
AB - 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.
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U2 - 10.1016/j.physleta.2015.09.014
DO - 10.1016/j.physleta.2015.09.014
M3 - Article
AN - SCOPUS:84942987174
SN - 0375-9601
VL - 379
SP - 2817
EP - 2825
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 43-44
ER -