Bäcklund loop algebras for compact and non-compact nonlinear spin models in $(2+1)$ dimensions

Abstract

The Bäcklund problem is solved for both the compact and noncompact versions of the Ishimori (2+1)-dimensional nonlinear spin model. In particular, a realization of the arising Bäcklund algebra in the form of an infinite-dimensional loop Lie algebra of the Kač--Moody type is provided.

9 pages; "Nonlinear Physics: Theory and Experiment. III" (Gallipoli (Lecce) 24/06-03/07/2004)

References in corpus (3)

• Nonlinear 2+1--Dimensional Field Equations from Incomplete Lie Algebra Structures
• The Prolongation Problem for the Heavenly Equation
• On the Geometry of Bäcklund Transformations

Cited by in corpus (3)

• Constructing towers with skeletons from open Lie algebras and integrability
• Particle-like, dyx-coaxial and trix-coaxial Lie algebra structures for a multi-dimensional continuous Toda type system
• Towers with skeletons for the (2+1)-dimensional continuous isotropic Heisenberg spin model