scholarly journals A (2 + 1)-dimensional integrable spin model: Geometrical and gauge equivalent counterpart, solitons and localized coherent structures

1997 ◽  
Vol 233 (4-6) ◽  
pp. 391-396 ◽  
Author(s):  
R. Myrzakulov ◽  
S. Vijayalakshmi ◽  
G.N. Nugmanova ◽  
M. Lakshmanan
Keyword(s):  
Coherent Structures ◽  
Spin Model ◽  
Integrable Spin

scholarly journals MODIFIED TETRAHEDRON EQUATION AND RELATED 3D INTEGRABLE MODELS, II

1996 ◽  
Vol 11 (02) ◽  
pp. 313-327 ◽  
Author(s):  
H.E. BOOS
Keyword(s):  
General Model ◽  
Spin Model ◽  
Parametric Family ◽  
Layer Transfer ◽  
Transfer Matrices ◽  
Tetrahedron Equation ◽  
Cubic Lattice ◽  
Analytical Formulae ◽  
Integrable Spin ◽  
Free Parameters

This work is a continuation of Ref. 13, where the Boltzmann weights for the N-state integrable spin model on the cubic lattice has been obtained only numerically. In this paper we present the analytical formulae for this model in a particular case. Here the Boltzmann weights depend on six free parameters including the elliptic modulus. The obtained solution allows us to construct a two-parametric family of the commuting two-layer transfer matrices. The presented model is expected to be simpler for a further investigation in comparison with a more general model mentioned above.

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