On exact solution of a classical 3D integrable model

Journal of Nonlinear Mathematical Physics

Volumn 7, Issue 1, 2000, Pages 57-72

  Sergeev, S M ^a  

^a Branch Institute for Nuclear Physics   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002442147     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.2000.7.1.5     Document Type: Article

References (15)

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3. Sergeev, S.M., 1999. Solitons in a 3d Integrable Model. solv-int/9904013
4. Sergeev, S.M., 1997. On a Two Dimensional System Associated with the Complex of the Solutions of the Tetrahedron Equation. solv-int/9709013
5. Hirota, R., 1981. Discrete Analogue of a Generalized Toda Equation. J. Phys. Soc. Jpn., 50(11):3785–3791.
6. Miwa, T., 1982. On Hirota’s Difference Equations. Proc. Japan Acad., 58:9–12.
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8. Wiegmann, P., Krichever, I., Lipan, O., and Zabrodin, A., 1996. Quantum Integrable Systems and Elliptic Solutions of Classical Discrete Nonlinear Equations. hep-th/9604080
9. Korepanov, I.G., 1995. Algebraic Integrable Dynamical Systems, 2+1−Dimensional Models in Wholly Discrete Space–Time, and Inhomogeneous Models in 2 - Dimensional Statistical Physics. solv-int/9506003
10. Kashaev, R.M., 1996. On Discrete Three–Dimensional Equations Associated with the Local Yang–Baxter Relation. Lett. Math. Phys., 35:389–397.
11. Korepanov, I.G., Kashaev, R.M., and Sergeev, S.M., 1998. Functional Tetrahedron Equation. TMF, 117(3):370–384.
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13. Mumford, D., 1983. Tata Lectures on Theta I, II, Vol. 1, Boston-Basel-Stuttgart:Birkhäuser. vol. 2, 1985
14. Mangazeev, V.V., Sergeev, S.M., and Stroganov, Yu.G., 1994. New Series of 3D Lattice Integrable Models. Int. J. Modern Phys. A, 9:5517–5530.
15. Boos, H.E., Mangazeev, V.V., Sergeev, S.M., and Stroganov, Yu.G., 1995. Modified Tetrahedron Equations and Related 3D Integrable Models. Int. J. Modern Phys. A, 10:4041–4064.