On the τ-functions of the Degasperis-Procesi equation

Bao Feng Feng, Ken Ichi Maruno, Yasuhiro Ohta

研究成果: Article査読

8 被引用数 (Scopus)

抄録

The Degasperis-Procesi (DP) equation is investigated from the point of view of determinant-Pfaffian identities. The reciprocal link between the DP equation and the pseudo 3-reduction of the C two-dimensional Toda system is used to construct the N-soliton solution of the DP equation. The N-soliton solution of the DP equation is presented in the form of Pfaffian through a hodograph (reciprocal) transformation. The bilinear equations, the identities between determinants and Pfaffians, and the τ-functions of the DP equation are obtained from the pseudo 3-reduction of the C two-dimensional Toda system.

本文言語English
論文番号045205
ジャーナルJournal of Physics A: Mathematical and Theoretical
46
4
DOI
出版ステータスPublished - 2013 2 1
外部発表はい

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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