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

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

2006-06-02

arxiv.org/abs/nlin/0606011v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages

Scientific paper

10.1088/0305-4470/39/35/004

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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