Shape changing soliton in a site-dependent ferromagnet using tanh-function method

Abstract

The dynamics of an inhomogeneous (site-dependent) Heisenberg ferromagnetic spin chain with Gilbert damping is expressed in the form of the Landau–Lifshitz–Gilbert (LLG) equation in the classical continuum limit. By stereographic projection of the unit sphere of spin onto a complex plane, we rewrite the LLG equation in terms of the stereographic variable ω(x,t). Using the modified extended tanh-function method with the aid of symbolic computation the exact spin soliton solution is constructed. The effect of inhomogeneity and damping on the spin soliton is studied.