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

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.

Tex file, 10 pages

Cited by in corpus (4)

• Nonlinear 2+1--Dimensional Field Equations from Incomplete Lie Algebra Structures
• Bäcklund loop algebras for compact and non-compact nonlinear spin models in $(2+1)$ dimensions
• Integrable nonlinear field equations and loop algebra structures
• Towers with skeletons for the (2+1)-dimensional continuous isotropic Heisenberg spin model