Nonlinear dynamics of the radially symmetric and site dependent anisotropic Heisenberg spin chain

Nonlinear excitations of a classical anisotropic radially symmetric and site dependent (inhomogeneous) Heisenberg ferromagnet are analysed by means of the polar coordinates for spin variables. From the detailed analysis, we find that the resulting equation admits the localized soliton structure only for the known one-dimensional case. Finally, we discuss the nature of solutions of the static sine Gordon equation and other related properties.