N-soliton solutions to the DKP equation and Weyl group actions

Yuji Kodama, Ken Ichi Maruno

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12 Citations (Scopus)

Abstract

We study soliton solutions to the DKP equation which is defined by the Hirota bilinear form, where τ0 ≤ 1. The τ-functions τn 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 languageEnglish
Pages (from-to)4063-4086
Number of pages24
JournalJournal of Physics A: Mathematical and General
Volume39
Issue number15
DOIs
Publication statusPublished - 2006 Apr 14

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ASJC Scopus subject areas

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

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