On the τ-functions of the Degasperis-Procesi equation

Bao Feng Feng, Kenichi Maruno, Yasuhiro Ohta

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number045205
JournalJournal of Physics A: Mathematical and Theoretical
Volume46
Issue number4
DOIs
Publication statusPublished - 2013 Feb 1
Externally publishedYes

Fingerprint

Degasperis-Procesi Equation
Solitons
Pfaffian
Soliton Solution
Determinant
determinants
solitary waves
hodographs

ASJC Scopus subject areas

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

Cite this

On the τ-functions of the Degasperis-Procesi equation. / Feng, Bao Feng; Maruno, Kenichi; Ohta, Yasuhiro.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 46, No. 4, 045205, 01.02.2013.

Research output: Contribution to journalArticle

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