On canonical variables in integrable models of magnets
Exactly Solvable and Integrable Systems
2007-12-12 v1
Abstract
Three integrable models - the deformed Heisenberg, Landau - Lifschits and Ishimori magnets are written in terms of the stereographic projection. The Hamiltonians of these models are obtained and certain questions related to the existence of exact solutions are studied. In particular, the stability of solitions is studied for the Heisenberg marnet, simplest stationary solutions are obtained for the Landau - Lifschits magnet, and Hamiltonians and topological charges are calculated for several known solutions of the Ishimori model
Keywords
Cite
@article{arxiv.0712.1666,
title = {On canonical variables in integrable models of magnets},
author = {E. Sh. Gutshabash},
journal= {arXiv preprint arXiv:0712.1666},
year = {2007}
}
Comments
20 pages