MODIFIED TETRAHEDRON EQUATIONS AND RELATED 3D INTEGRABLE MODELS .1.

Authors
BOOS HE MANGAZEEV VV SERGEEV SM
Citation
He. Boos et al., MODIFIED TETRAHEDRON EQUATIONS AND RELATED 3D INTEGRABLE MODELS .1., International journal of modern physics A, 10(28), 1995, pp. 4041-4063
Citations number
15
Categorie Soggetti
Physics, Particles & Fields","Physics, Nuclear
Journal title
International journal of modern physics A → ACNP
ISSN journal
0217751X
Volume
10
Issue
28
Year of publication
1995
Pages
4041 - 4063
Database
ISI
SICI code
0217-751X(1995)10:28<4041:MTEAR3>2.0.ZU;2-B
Abstract
Using a modified version of the tetrahedron equations we construct a n ew family of N-state three-dimensional integrable models with commutin g two-layer transfer matrices. We investigate a particular class of so lutions to these equations and parametrize them in terms of elliptic f unctions. The corresponding models contain one free parameter, k - an elliptic modulus.