Open AccessHigher-order solitons in an anisotropic Heisenberg spin chain
Author(s) -
Yanwu Xie
Publication year - 2016
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.65.207501
Subject(s) - semiclassical physics , physics , anisotropy , spin (aerodynamics) , representation (politics) , limit (mathematics) , coherent states , chain (unit) , ferromagnetism , heisenberg model , quantum mechanics , order (exchange) , mathematical physics , mathematical analysis , quantum , finance , economics , thermodynamics , mathematics , politics , political science , law
An anisotropic Heisenberg ferromagnetic spin chain model is studied by using Holstain-Primakoff representation. In the semiclassical limit, the exact solutions for bright and dark solitons are found by using the coherent-state method combined with the Holstein-Primakoff bosonic representation of spin operators. These results show that the solutions can be expressed in terms of the elliptic integrals in different parameter regions. Some solutions for dark solitons are the innovation points in this paper.