抄録
The link between the short-wave model of the Camassa-Holm equation (SCHE) and bilinear equations of the two-dimensional Toda lattice equation is clarified. The parametric form of the N-cuspon solution of the SCHE in Casorati determinant is then given. Based on the above finding, integrable semi-discrete and full-discrete analogues of the SCHE are constructed. The determinant solutions of both semi-discrete and fully discrete analogues of the SCHE are also presented.
| 本文言語 | English |
|---|---|
| 論文番号 | 265202 |
| ジャーナル | Journal of Physics A: Mathematical and Theoretical |
| 巻 | 43 |
| 号 | 26 |
| DOI | |
| 出版ステータス | Published - 2010 |
| 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）