### Abstract

A supersymmetric extension of the Toda lattice (STL) hierarchy is introduced. Explicit representation of solutions of the STL hierarchy is given by means of the Riemann-Hilbert decomposition. The STL hierarchy connected with the infinite-dimensional Lie super algebra osp (∞/∞) is studied.

Original language | English |
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Pages (from-to) | 321-328 |

Number of pages | 8 |

Journal | Letters in Mathematical Physics |

Volume | 14 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1987 Nov |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics

### Cite this

**A supersymmetric extension of the Toda lattice hierarchy.** / Ikeda, Kaoru.

Research output: Contribution to journal › Article

*Letters in Mathematical Physics*, vol. 14, no. 4, pp. 321-328. https://doi.org/10.1007/BF00402141

}

TY - JOUR

T1 - A supersymmetric extension of the Toda lattice hierarchy

AU - Ikeda, Kaoru

PY - 1987/11

Y1 - 1987/11

N2 - A supersymmetric extension of the Toda lattice (STL) hierarchy is introduced. Explicit representation of solutions of the STL hierarchy is given by means of the Riemann-Hilbert decomposition. The STL hierarchy connected with the infinite-dimensional Lie super algebra osp (∞/∞) is studied.

AB - A supersymmetric extension of the Toda lattice (STL) hierarchy is introduced. Explicit representation of solutions of the STL hierarchy is given by means of the Riemann-Hilbert decomposition. The STL hierarchy connected with the infinite-dimensional Lie super algebra osp (∞/∞) is studied.

UR - http://www.scopus.com/inward/record.url?scp=0001668943&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001668943&partnerID=8YFLogxK

U2 - 10.1007/BF00402141

DO - 10.1007/BF00402141

M3 - Article

VL - 14

SP - 321

EP - 328

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 4

ER -