### Abstract

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.

Original language | English |
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Pages (from-to) | 145-150 |

Number of pages | 6 |

Journal | Physics Letters. Section A: General, Atomic and Solid State Physics |

Volume | 253 |

Issue number | 3-4 |

DOIs | |

Publication status | Published - 22 Mar 1999 |

Externally published | Yes |

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### Cite this

*Physics Letters. Section A: General, Atomic and Solid State Physics*,

*253*(3-4), 145-150. https://doi.org/10.1016/S0375-9601(99)00072-9

}

*Physics Letters. Section A: General, Atomic and Solid State Physics*, vol. 253, no. 3-4, pp. 145-150. https://doi.org/10.1016/S0375-9601(99)00072-9

**3D symplectic map.** / Sergeev, S. M.

Research output: Contribution to journal › Article

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

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

SN - 0375-9601

IS - 3-4

ER -