| Autor: |
Atalikov, K., Zotov, A. |
| Předmět: |
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| Zdroj: |
JETP Letters; Jun2022, Vol. 115 Issue 12, p757-762, 6p |
| Abstrakt: |
We propose a construction of 1 + 1 integrable Heisenberg–Landau–Lifshitz type equations in the case. The dynamical variables are matrix elements of an matrix S with the property . The Lax pair with spectral parameter is constructed by means of a quantum R-matrix satisfying the associative Yang–Baxter equation. Equations of motion for Landau–Lifshitz model are derived from the Zakharov–Shabat equations. The model is simplified when rank(S) = 1. In this case the Hamiltonian description is suggested. The described family of models includes the elliptic model coming from Baxter–Belavin elliptic R-matrix. In case the widely known Sklyanin's elliptic Lax pair for XYZ Landau–Lifshitz equation is reproduced. Our construction is also valid for trigonometric and rational degenerations of the elliptic R‑matrix. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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