Algebraic properties of the 1+1 dimensional Heisenberg spin field model
solv-int
2009-10-30 v1 Exactly Solvable and Integrable Systems
Abstract
The Estabrook-Wahlquist prolongation method is applied to the (compact and noncompact) continuous isotropic Heisenberg model in 1 + 1 dimensions. Using a special realization (an algebra of the Kac-Moody type) of the arising incomplete prolongation Lie algebra, a whole family of nonlinear field equations containing the original Heisenberg system is generated.
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Cite
@article{arxiv.solv-int/9604003,
title = {Algebraic properties of the 1+1 dimensional Heisenberg spin field model},
author = {E. Alfinito and M. Leo and R. A. Leo and M. Palese and G. Soliani},
journal= {arXiv preprint arXiv:solv-int/9604003},
year = {2009}
}
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Tex file, 10 pages