## 抄録

We study soliton solutions to the DKP equation which is defined by the Hirota bilinear form, where τ_{0} ≤ 1. The τ-functions τ_{n} are given by the Pfaffians of a certain skew-symmetric matrix. We identify a one-soliton solution as an element of the Weyl group of D-type, and discuss a general structure of the interaction patterns among the solitons. Soliton solutions are characterized by a 4N × 4N skew-symmetric constant matrix which we call the B-matrix. We then find that one can have M-soliton solutions with M being any number from N to 2N - 1 for some of the 4N × 4N B-matrices having only 2N nonzero entries in the upper-triangular part (the number of solitons obtained from those B-matrices was previously expected to be just N).

本文言語 | English |
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ページ（範囲） | 4063-4086 |

ページ数 | 24 |

ジャーナル | Journal of Physics A: Mathematical and General |

巻 | 39 |

号 | 15 |

DOI | |

出版ステータス | Published - 2006 4月 14 |

外部発表 | はい |

## ASJC Scopus subject areas

- 統計物理学および非線形物理学
- 数理物理学
- 物理学および天文学（全般）