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.
|ジャーナル||Journal of Physics A: Mathematical and Theoretical|
|出版ステータス||Published - 2013 2 1|
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