On recursion operators for elliptic models

D.K. Demskoi; V.V. Sokolov

doi:10.1088/0951-7715/21/6/006

On recursion operators for elliptic models

D.K. Demskoi, V.V. Sokolov

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1-13
Number of pages	13
Journal	Nonlinearity
Volume	21
Issue number	6
DOIs	https://doi.org/10.1088/0951-7715/21/6/006
Publication status	Published - 2008

Access to Document

10.1088/0951-7715/21/6/006

Cite this

@article{a30799d816e34d3295118323818abcd7,

title = "On recursion operators for elliptic models",

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.",

author = "D.K. Demskoi and V.V. Sokolov",

note = "Imported on 12 Apr 2017 - DigiTool details were: Journal title (773t) = Nonlinearity. ISSNs: 0951-7715; ",

year = "2008",

doi = "10.1088/0951-7715/21/6/006",

language = "English",

volume = "21",

pages = "1--13",

journal = "Nonlinearity",

issn = "0951-7715",

publisher = "IOP Publishing Ltd.",

number = "6",

}

TY - JOUR

T1 - On recursion operators for elliptic models

AU - Demskoi, D.K.

AU - Sokolov, V.V.

N1 - Imported on 12 Apr 2017 - DigiTool details were: Journal title (773t) = Nonlinearity. ISSNs: 0951-7715;

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

U2 - 10.1088/0951-7715/21/6/006

DO - 10.1088/0951-7715/21/6/006

M3 - Article

VL - 21

SP - 1

EP - 13

JO - Nonlinearity

JF - Nonlinearity

SN - 0951-7715

IS - 6

ER -

On recursion operators for elliptic models

Abstract

Access to Document

Fingerprint

Cite this