Algebraic properties of the 1+1 dimensional Heisenberg spin field model

Details Algebraic properties of the 1+1 dimensional Heisenberg spin field model Algebraic properties of the 1+1 dimensional Heisenberg spin field model

1996-04-17

arxiv.org/abs/solv-int/9604003v1

Lett. Math. Phys., {\bf 32}, 241 (1994)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Tex file, 10 pages

Scientific paper

10.1007/BF00750666

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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