On recursion operators for elliptic models
Exactly Solvable and Integrable Systems
2015-06-26 v1
Abstract
New quasilocal recursion and Hamiltonian operators for the Krichever-Novikov and the Landau-Lifshitz equations are found. It is shown that the associative algebra of quasilocal recursion operators for these models is generated by a couple of operators related by an elliptic curve equation. A theoretical explanation of this fact for the Landau-Lifshitz equation is given in terms of multiplicators of the corresponding Lax structure.
Cite
@article{arxiv.nlin/0607071,
title = {On recursion operators for elliptic models},
author = {Dmitry K. Demskoi and Vladimir V. Sokolov},
journal= {arXiv preprint arXiv:nlin/0607071},
year = {2015}
}
Comments
16 pages, no figures