### Abstract

Two types of determinant representations of the rational solutions for the Painlevé II equation are discussed by using the bilinear formalism. One of them is a representation by the Devisme polynomials, and another one is Hankel determinant representation. They are derived from the determinant solutions of the KP hierarchy and Toda lattice, respectively.

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

Pages (from-to) | 4693-4704 |

Number of pages | 12 |

Journal | Journal of Mathematical Physics |

Volume | 37 |

Issue number | 9 |

DOIs | |

Publication status | Published - Sep 1 1996 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Mathematical Physics*,

*37*(9), 4693-4704. https://doi.org/10.1063/1.531648

**Determinant structure of the rational solutions for the Painlevé II equation.** / Kajiwara, Kenji; Ohta, Yasuhiro.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 37, no. 9, pp. 4693-4704. https://doi.org/10.1063/1.531648

}

TY - JOUR

T1 - Determinant structure of the rational solutions for the Painlevé II equation

AU - Kajiwara, Kenji

AU - Ohta, Yasuhiro

PY - 1996/9/1

Y1 - 1996/9/1

N2 - Two types of determinant representations of the rational solutions for the Painlevé II equation are discussed by using the bilinear formalism. One of them is a representation by the Devisme polynomials, and another one is Hankel determinant representation. They are derived from the determinant solutions of the KP hierarchy and Toda lattice, respectively.

AB - Two types of determinant representations of the rational solutions for the Painlevé II equation are discussed by using the bilinear formalism. One of them is a representation by the Devisme polynomials, and another one is Hankel determinant representation. They are derived from the determinant solutions of the KP hierarchy and Toda lattice, respectively.

UR - http://www.scopus.com/inward/record.url?scp=0030507182&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030507182&partnerID=8YFLogxK

U2 - 10.1063/1.531648

DO - 10.1063/1.531648

M3 - Article

AN - SCOPUS:0030507182

VL - 37

SP - 4693

EP - 4704

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 9

ER -