### 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 |
---|---|

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 |

## Fingerprint Dive into the research topics of '3D symplectic map'. Together they form a unique fingerprint.

## Cite this

Sergeev, S. M. (1999). 3D symplectic map.

*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