Central extensions of cotangent universal hierarchy: (2+12+1)-dimensional bi-Hamiltonian systems

Sergyeyev, A. and Szablikowski, B. (2008) Central extensions of cotangent universal hierarchy: (2+12+1)-dimensional bi-Hamiltonian systems. Physics Letters A, 372(47), pp. 7016-7023. (doi: 10.1016/j.physleta.2008.10.020)

Abstract

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.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Szablikowski, Dr Blazej
• Authors: Sergyeyev, A., and Szablikowski, B.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Physics Letters A
• Publisher: Elsevier BV
• ISSN: 0375-9601
• ISSN (Online): 1873-2429