M. Daniel et al., Soliton spin excitations in an anisotropic Heisenberg ferromagnet with octupole-dipole interaction, PHYS REV B, 59(21), 1999, pp. 13774-13781
We investigate the nonlinear spin dynamics of an anisotropic Heisenberg fer
romagnetic spin chain with octupole-dipole interaction in the semiclassical
limit using the coherent-state method combined with the Holstein-Primakoff
bosonic representation of spin operators. The dynamics is found to be gove
rned by a generalized nonlinear Schrodinger equation in the continuum limit
. For specific values of the exchange, octupole-dipole interactions, and al
so of the anisotropy parameters, through Painleve singularity structure ana
lysis, we have identified an integrable spin chain model with soliton spin
excitations. We carry out a multiple scale perturbation analysis Co find th
e discreteness effect on the soliton excitations in the more general nonint
egrable case. [S0163-1829(99)06221-9].