Nonlinear spin excitations and singularity structure of a classical continuum spin ladder with ferromagnetic legs

For the first time singularity structure analysis is carried out on the vector form of the coupled Landau–Lifshitz equations that govern the spin dynamics in an isotropic spin ladder and also on the equivalent curvature–torsion equations obtained through space curve mapping procedure. Also static spin configurations in the form of linear spin waves and localized travelling waves in the form of solitary waves are obtained.