抄録
We study a similarity reduction of the modified Yajima-Oikawa hierarchy. The hierarchy is associated with a non-standard Heisenberg subalgebra in the affine Lie algebra of type A2(1)The system of equations for self-similar solutions is presented as a Hamiltonian system of degree of freedom 2, and admits a group of Bäcklund transformations isomorphic to the affine Weyl group of type A2(1). We show that the system is equivalent to a two-parameter family of the fifth Painlevé equation.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 11465-11480 |
| ページ数 | 16 |
| ジャーナル | Journal of Physics A: Mathematical and General |
| 巻 | 36 |
| 号 | 45 |
| DOI | |
| 出版ステータス | Published - 2003 11月 14 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 統計物理学および非線形物理学
- 数理物理学
- 物理学および天文学（全般）