On the dynamics of the radially symmetric heisenberg ferromagnetic spin system

Porsezian, K. ; Lakshmanan, M. (1991) On the dynamics of the radially symmetric heisenberg ferromagnetic spin system Journal of Mathematical Physics, 32 (10). pp. 2923-2928. ISSN 0022-2488

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Official URL: http://link.aip.org/link/?JMAPAQ/32/2923/1

Related URL: http://dx.doi.org/10.1063/1.529086

Abstract

By considering the geometrical equivalence of the radially symmetric Heisenberg ferromagnetic spin system in n-arbitrary spatial dimensions and the generalized nonlinear Schrodinger equation (GNLSE) with radial symmetry, it is shown that they possess the Painleve property only for the (n=2) circularly (planar radially) symmetric case. For the circularly symmetric case, suitable (2×2) matrix eigenvalue equations are constructed, involving nonisospectral flows and their gauge equivalence is shown. The connection with inhomogeneous systems and, in particular, the linearly x-dependent system is pointed out. Appropriate Backlund transformations (BT) and explicit soliton solutions for both the spin systems and the GNLSEs are also derived.

Item Type:Article
Source:Copyright of this article belongs to American Institute of Physics.
ID Code:19380
Deposited On:22 Nov 2010 12:42
Last Modified:16 Jul 2012 07:59

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