Central extensions of cotangent universal hierarchy: (2+1)-dimensional bi-Hamiltonian systems

被引：18

作者：

Sergyeyev, Artur ^{[1
]}

Szablikowski, Blazej M. ^{[2
,3
]}

机构：

[1] Silesian Univ Opava, Math Inst, Opava 74601, Czech Republic

[2] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland

[3] Adam Mickiewicz Univ Poznan, Dept Phys, PL-61614 Poznan, Poland

来源：

PHYSICS LETTERS A | 2008年 / 372卷 / 47期

关键词：

Cotangent universal hierarchy; Central extension; Integrable systems; (2+1)-dimensional bi-Hamiltonian systems; R-matrix;

D O I：

10.1016/j.physleta.2008.10.020

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce the cotangent universal hierarchy that extends the universal hierarchy from [L. Martinez Alonso, A.B. Shabat, Phys. Lett. A 300 (1) (2002) 58, nlin.SI/0202008; A.B. Shabat, Theor. Math. Phys. 136 (2003) 1066; L. Martinez Alonso, A.B. Shabat, J. Nonlinear Math. Phys. 10 (2) (2003) 229, nlin.SI/0310036; L. Martinez Alonso, A.B. Shabat, Theor. Math. Phys. 140 (2) (2004) 1073, nlin.SI/0312043; A. Shabat, J. Nonlinear Math. Phys. 12 (Suppl. 1) (2005) 614). Then we construct a (2 + 1)-dimensional double central extension of the cotangent universal hierarchy and show that this extension is bi-Hamiltonian. This yields, as a byproduct, the central extension of the original universal hierarchy. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：7016 / 7023

页数：8

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