# Publication: Classification of 3-dimensional integrable scalar discrete equations

All || By Area || By YearTitle | Classification of 3-dimensional integrable scalar discrete equations |
---|---|

Authors/Editors* | SP Tsarev, T Wolf |

Where published* | preprint, arXiv:0706.2464 |

How published* | None |

Year* | 2007 |

Volume | -1 |

Number | -1 |

Pages | 19 pages |

Publisher | |

Keywords | integrable systems, discrete equations, large polynomial systems, computer algebra, Reduce, Form, Crack |

Link | http://lie.math.brocku.ca/twolf/papers/TsWo07-23.pdf |

Abstract |
We classify all integrable 3-dimensional scalar discrete quasilinear equations Q_3=0 on an elementary cubic cell of the lattice Z^3. An equation Q_3=0$ is called integrable if it may be consistently imposed on all 3-dimensional elementary faces of the lattice Z^4. Under the natural requirement of invariance of the equation under the action of the complete group of symmetries of the cube we prove that the only nontrivial (non-linearizable) integrable equation from this class is the well-known dBKP-system. |

Back to page 67 of list