Algebraic properties of the 1+1 dimensional Heisenberg spin field model
classification
solv-int
nlin.SI
keywords
heisenbergalgebrafieldmodelprolongationalgebraicappliedarising
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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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