The Darboux-Backlund transformation for the static 2-dimensional continuum Heisenberg chain
Exactly Solvable and Integrable Systems
2009-11-11 v1
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.
Keywords
Cite
@article{arxiv.nlin/0606011,
title = {The Darboux-Backlund transformation for the static 2-dimensional continuum Heisenberg chain},
author = {Jan L. Cieslinski and Joanna Czarnecka},
journal= {arXiv preprint arXiv:nlin/0606011},
year = {2009}
}
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12 pages