Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2006-07-31
Nonlinearity 21 (2008) 1253-1264
Nonlinear Sciences
Exactly Solvable and Integrable Systems
16 pages, no figures
Scientific paper
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.
Demskoi Dmitry K.
Sokolov Valentin V.
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