### Abstract

Original language | Undefined |
---|---|

Place of Publication | Enschede |

Publisher | University of Twente, Department of Applied Mathematics |

Number of pages | 33 |

Publication status | Published - 2000 |

### Publication series

Name | Memorandum Faculteit TW |
---|---|

Publisher | University of Twente, Faculty of Applied Mathematics |

No. | 1556 |

ISSN (Print) | 0169-2690 |

### Keywords

- MSC-22E70
- EWI-3376
- MSC-81R10
- METIS-141313
- MSC-58G37
- IR-65743
- MSC-22E65
- MSC-22E67
- MSC-35Q58
- MSC-35Q53

### Cite this

*Geometric Bäcklund-Darboux transformations for the KP hierarchy*. (Memorandum Faculteit TW; No. 1556). Enschede: University of Twente, Department of Applied Mathematics.

}

*Geometric Bäcklund-Darboux transformations for the KP hierarchy*. Memorandum Faculteit TW, no. 1556, University of Twente, Department of Applied Mathematics, Enschede.

**Geometric Bäcklund-Darboux transformations for the KP hierarchy.** / Helminck, G.F.; van de Leur, J.W.; van de Leur, J.W.

Research output: Book/Report › Report › Professional

TY - BOOK

T1 - Geometric Bäcklund-Darboux transformations for the KP hierarchy

AU - Helminck, G.F.

AU - van de Leur, J.W.

AU - van de Leur, J.W.

N1 - Imported from MEMORANDA

PY - 2000

Y1 - 2000

N2 - In this paper it is shown that, if you have two planes in the Sato Grassmannian that have an intersection of finite codimension, then the corresponding solutions of the KP hierarchy are linked by B\"acklund-Darboux (shortly BD-)transformations. The pseudodifferential operator that performs this transformation is shown to be built up in a geometric way from so-called elementary BD-transformations and is given here in a closed form. The corresponding action on the tau-function, associated to a plane in the Grassmannian, is also determined.

AB - In this paper it is shown that, if you have two planes in the Sato Grassmannian that have an intersection of finite codimension, then the corresponding solutions of the KP hierarchy are linked by B\"acklund-Darboux (shortly BD-)transformations. The pseudodifferential operator that performs this transformation is shown to be built up in a geometric way from so-called elementary BD-transformations and is given here in a closed form. The corresponding action on the tau-function, associated to a plane in the Grassmannian, is also determined.

KW - MSC-22E70

KW - EWI-3376

KW - MSC-81R10

KW - METIS-141313

KW - MSC-58G37

KW - IR-65743

KW - MSC-22E65

KW - MSC-22E67

KW - MSC-35Q58

KW - MSC-35Q53

M3 - Report

T3 - Memorandum Faculteit TW

BT - Geometric Bäcklund-Darboux transformations for the KP hierarchy

PB - University of Twente, Department of Applied Mathematics

CY - Enschede

ER -