Integrable Kuralay equations: geometry, solutions and generalizations
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2022
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866915450510639104 |
|---|---|
| author | Sagidullayeva, Z. Nugmanova, G. Myrzakulov, R. Serikbayev, N. |
| author_facet | Sagidullayeva, Z. Nugmanova, G. Myrzakulov, R. Serikbayev, N. |
| contents | In this paper, we study the Kuralay equations, namely, the Kuralay-I equation (K-IE) and the Kuralay-II equation (K-IIE). The integrable motion of space curves induced by these equations is investigated. The gauge equivalence between these two equations is established. With the help of the Hirota bilinear method, the simplest soliton solutions are also presented. The nonlocal and dispersionless versions of the K-IE and K-IIE are considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_05348 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Integrable Kuralay equations: geometry, solutions and generalizations Sagidullayeva, Z. Nugmanova, G. Myrzakulov, R. Serikbayev, N. Exactly Solvable and Integrable Systems In this paper, we study the Kuralay equations, namely, the Kuralay-I equation (K-IE) and the Kuralay-II equation (K-IIE). The integrable motion of space curves induced by these equations is investigated. The gauge equivalence between these two equations is established. With the help of the Hirota bilinear method, the simplest soliton solutions are also presented. The nonlocal and dispersionless versions of the K-IE and K-IIE are considered. |
| title | Integrable Kuralay equations: geometry, solutions and generalizations |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2206.05348 |