On the τ-functions of the Degasperis-Procesi equation

Bao Feng Feng; Ken Ichi Maruno; Yasuhiro Ohta

doi:10.1088/1751-8113/46/4/045205

On the τ-functions of the Degasperis-Procesi equation

Bao Feng Feng^*, Ken Ichi Maruno, Yasuhiro Ohta

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 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 language	English
Article number	045205
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	46
Issue number	4
DOIs	https://doi.org/10.1088/1751-8113/46/4/045205
Publication status	Published - 2013 Feb 1
Externally published	Yes

ASJC Scopus subject areas

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

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10.1088/1751-8113/46/4/045205

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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.",

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AB - 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.

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On the τ-functions of the Degasperis-Procesi equation

Abstract

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