### Abstract

We present a system of integrable second-order differential equations for three fields in the three-dimensional space-time. The system is obtained as the continuum limit of discrete equations for a triplet of tau-fnnctions. We give a parameterization of the soliton solutions of equations of motion, describe the linear problem, and establish the integrability of the corresponding classical field theory.

Original language | English |
---|---|

Pages (from-to) | 1573-1580 |

Number of pages | 8 |

Journal | Theoretical and Mathematical Physics |

Volume | 129 |

Issue number | 2 |

DOIs | |

Publication status | Published - Nov 2001 |

### Fingerprint

### Cite this

*Theoretical and Mathematical Physics*,

*129*(2), 1573-1580. https://doi.org/10.1023/A:1012891325231

}

*Theoretical and Mathematical Physics*, vol. 129, no. 2, pp. 1573-1580. https://doi.org/10.1023/A:1012891325231

**Continuum limit of the triple tau-function model.** / Mangazeev, Vladimir V.; Sergeev, SM.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Continuum limit of the triple tau-function model

AU - Mangazeev, Vladimir V.

AU - Sergeev, SM

PY - 2001/11

Y1 - 2001/11

N2 - We present a system of integrable second-order differential equations for three fields in the three-dimensional space-time. The system is obtained as the continuum limit of discrete equations for a triplet of tau-fnnctions. We give a parameterization of the soliton solutions of equations of motion, describe the linear problem, and establish the integrability of the corresponding classical field theory.

AB - We present a system of integrable second-order differential equations for three fields in the three-dimensional space-time. The system is obtained as the continuum limit of discrete equations for a triplet of tau-fnnctions. We give a parameterization of the soliton solutions of equations of motion, describe the linear problem, and establish the integrability of the corresponding classical field theory.

KW - differential equation

KW - space-time

UR - http://www.scopus.com/inward/record.url?scp=0035528151&partnerID=8YFLogxK

U2 - 10.1023/A:1012891325231

DO - 10.1023/A:1012891325231

M3 - Article

VL - 129

SP - 1573

EP - 1580

JO - Theoretical and Mathematical Physics(Russian Federation)

JF - Theoretical and Mathematical Physics(Russian Federation)

SN - 0040-5779

IS - 2

ER -