### Abstract

Nonlinear integrable equations, such as the KdV equation, the Boussinesq equation and the KP equation, have a close relation with the many-body problem. The solutions of such equations are the same as the restricted flows of the classical Calogero model, which is a one-dimensional particle system with inverse square interactions. The KP hierarchy and the Calogero model share the same structure called "additional symmetry". This additional symmetry plays a crucial role in this relation.

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

Pages (from-to) | 87-90 |

Number of pages | 4 |

Journal | Physics Letters A |

Volume | 191 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - Aug 8 1994 |

Externally published | Yes |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

*Physics Letters A*,

*191*(1-2), 87-90. https://doi.org/10.1016/0375-9601(94)90563-0

**On additional symmetry : the many-body problem related to the KP hierarchy.** / Hikami, Kazuhiro; Wadati, Miki.

Research output: Contribution to journal › Article

*Physics Letters A*, vol. 191, no. 1-2, pp. 87-90. https://doi.org/10.1016/0375-9601(94)90563-0

}

TY - JOUR

T1 - On additional symmetry

T2 - the many-body problem related to the KP hierarchy

AU - Hikami, Kazuhiro

AU - Wadati, Miki

PY - 1994/8/8

Y1 - 1994/8/8

N2 - Nonlinear integrable equations, such as the KdV equation, the Boussinesq equation and the KP equation, have a close relation with the many-body problem. The solutions of such equations are the same as the restricted flows of the classical Calogero model, which is a one-dimensional particle system with inverse square interactions. The KP hierarchy and the Calogero model share the same structure called "additional symmetry". This additional symmetry plays a crucial role in this relation.

AB - Nonlinear integrable equations, such as the KdV equation, the Boussinesq equation and the KP equation, have a close relation with the many-body problem. The solutions of such equations are the same as the restricted flows of the classical Calogero model, which is a one-dimensional particle system with inverse square interactions. The KP hierarchy and the Calogero model share the same structure called "additional symmetry". This additional symmetry plays a crucial role in this relation.

UR - http://www.scopus.com/inward/record.url?scp=43949160283&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=43949160283&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(94)90563-0

DO - 10.1016/0375-9601(94)90563-0

M3 - Article

AN - SCOPUS:43949160283

VL - 191

SP - 87

EP - 90

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 - 1-2

ER -