The Darboux-Backlund transformation for the static 2-dimensional continuum Heisenberg chain
arXiv:nlin/0606011 · doi:10.1088/0305-4470/39/35/004
Abstract
We construct the Darboux-Backlund transformation for the sigma model describing static configurations of the 2-dimensional classical continuum Heisenberg chain. The transformation is characterized by a non-trivial normalization matrix depending on the background solution. In order to obtain the transformation we use a new, more general, spectral problem.
12 pages