Nonintegrability of (2+1)-dimensional continuum isotropic Heisenberg spin system: Painlevé analysis
arXiv:nlin/0604017 · doi:10.1016/j.physleta.2006.03.074
Abstract
While many integrable spin systems are known to exist in (1+1) and (2+1) dimensions, the integrability property of the physically important (2+1) dimensional isotropic Heisenberg ferromagnetic spin system in the continuum limit has not been investigated in the literature. In this paper, we show through a careful singularity structure analysis of the underlying nonlinear evolution equation that the system admits logarithmic type singular manifolds and so is of non-Painlevé type and is expected to be nonintegrable.
11 pages. to be published in Phys. Lett. A (2006)