### Abstract

Equations of motion for a classical 3d discrete model, whose auxiliary system is a linear system, are investigated. The Lagrangian form of the equations of motion is derived. The Lagrangian variables are a triplet of 'tau functions'. The equations of motion for the triplet of tau functions are three trilinear equations. Simple solitons for the trilinear equations are given. Both the dispersion relation and the phase shift reflect the triplet structure of equations.

Original language | English |
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Pages (from-to) | 364-368 |

Number of pages | 5 |

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

Volume | 265 |

Issue number | 5-6 |

DOIs | |

Publication status | Published - 7 Feb 2000 |

Externally published | Yes |

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### Cite this

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

*265*(5-6), 364-368. https://doi.org/10.1016/S0375-9601(99)00849-X

}

*Physics Letters. Section A: General, Atomic and Solid State Physics*, vol. 265, no. 5-6, pp. 364-368. https://doi.org/10.1016/S0375-9601(99)00849-X

**Solitons in a 3d integrable model.** / Sergeev, S. M.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Solitons in a 3d integrable model

AU - Sergeev, S. M.

PY - 2000/2/7

Y1 - 2000/2/7

N2 - Equations of motion for a classical 3d discrete model, whose auxiliary system is a linear system, are investigated. The Lagrangian form of the equations of motion is derived. The Lagrangian variables are a triplet of 'tau functions'. The equations of motion for the triplet of tau functions are three trilinear equations. Simple solitons for the trilinear equations are given. Both the dispersion relation and the phase shift reflect the triplet structure of equations.

AB - Equations of motion for a classical 3d discrete model, whose auxiliary system is a linear system, are investigated. The Lagrangian form of the equations of motion is derived. The Lagrangian variables are a triplet of 'tau functions'. The equations of motion for the triplet of tau functions are three trilinear equations. Simple solitons for the trilinear equations are given. Both the dispersion relation and the phase shift reflect the triplet structure of equations.

KW - integrable model

UR - http://www.scopus.com/inward/record.url?scp=0034614913&partnerID=8YFLogxK

U2 - 10.1016/S0375-9601(99)00849-X

DO - 10.1016/S0375-9601(99)00849-X

M3 - Article

VL - 265

SP - 364

EP - 368

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 - 5-6

ER -