On the τ-functions of the reduced Ostrovsky equation and the A (2) 2 two-dimensional Toda system

Bao Feng Feng*, Ken Ichi Maruno, Yasuhiro Ohta

*この研究の対応する著者

研究成果: Article査読

8 被引用数 (Scopus)

抄録

The reciprocal link between the reduced Ostrovsky equation and the A (2) 2 two-dimensional Toda (2D-Toda) system is used to construct the N-soliton solution of the reduced Ostrovsky equation. The N-soliton solution of the reduced Ostrovsky equation is presented in the form of pfaffian through a hodograph (reciprocal) transformation. The bilinear equations and the τ-function of the reduced Ostrovsky equation are obtained from the period 3-reduction of the B or C 2D-Toda system, i.e. the A (2) 2 2D-Toda system. One of the τ-functions of the A (2) 2 2D-Toda system becomes the square of a pfaffian which also becomes a solution of the reduced Ostrovsky equation. There is another bilinear equation which is a member of the 3-reduced extended BKP hierarchy. Using this bilinear equation, we can also construct the same pfaffian solution.

本文言語English
論文番号355203
ジャーナルJournal of Physics A: Mathematical and Theoretical
45
35
DOI
出版ステータスPublished - 2012
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 統計学および確率
  • モデリングとシミュレーション
  • 数理物理学
  • 物理学および天文学(全般)

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