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The Darboux-Backlund transformation for the static 2-dimensional continuum Heisenberg chain

Jan L. Cieslinski·Joanna Czarnecka
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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.

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Jan L. Cieslinski, Joanna Czarnecka. 2006-06-02. The Darboux-Backlund transformation for the static 2-dimensional continuum Heisenberg chain. https://doi.org/10.1088/0305-4470%2F39%2F35%2F004

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