An inverse scattering transform for the Landau-Lifschitz equation for a spin chain with an easy axis

Abstract

An inverse scattering transform is developed to solve the Landau-Lifschitz equation for a spin chain with an easy axis. Instead of introducing the Riemann surface, which is required for double-valued functions of the usual spectral parameter lambda , the transform is developed by making use of an auxiliary parameter zeta . The Marchenko equation, soliton solutions and asymptotic behaviours are derived. The results reduce naturally to those for theisotropic chain when the anisotropy vanishes.