### Abstract

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).

Original language | English |
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Pages (from-to) | 4063-4086 |

Number of pages | 24 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 39 |

Issue number | 15 |

DOIs | |

Publication status | Published - 2006 Apr 14 |

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### ASJC Scopus subject areas

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

### Cite this

*Journal of Physics A: Mathematical and General*,

*39*(15), 4063-4086. https://doi.org/10.1088/0305-4470/39/15/012