TY - JOUR
T1 - 3D symplectic map
AU - Sergeev, S. M.
PY - 1999/3/22
Y1 - 1999/3/22
N2 - A functional map, corresponding to the Poisson part of the operator R-matrix associated with the complex of Zamolodchikov-Bazhanov-Baxter (ZZB) model's descendants, gives the symplectic map of the dynamical variables. The corresponding 2+1 evolution model is considered. A generating function for the integrals of motion is derived. Thus the complete integrability is established directly.
AB - A functional map, corresponding to the Poisson part of the operator R-matrix associated with the complex of Zamolodchikov-Bazhanov-Baxter (ZZB) model's descendants, gives the symplectic map of the dynamical variables. The corresponding 2+1 evolution model is considered. A generating function for the integrals of motion is derived. Thus the complete integrability is established directly.
KW - 2 + 1 integrability
KW - Discrete space-time evolution models
KW - Tetrahedron equation
UR - http://www.scopus.com/inward/record.url?scp=0042782162&partnerID=8YFLogxK
U2 - 10.1016/S0375-9601(99)00072-9
DO - 10.1016/S0375-9601(99)00072-9
M3 - Article
AN - SCOPUS:0042782162
SN - 0375-9601
VL - 253
SP - 145
EP - 150
JO - Physics Letters. Section A: General, Atomic and Solid State Physics
JF - Physics Letters. Section A: General, Atomic and Solid State Physics
IS - 3-4
ER -