Semantic Scholar Open Access 2008 31 sitasi

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

Artur Sergyeyev Błażej M. Szablikowski

Abstrak

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.

Topik & Kata Kunci

Penulis (2)

A

Artur Sergyeyev

B

Błażej M. Szablikowski

Format Sitasi

Sergyeyev, A., Szablikowski, B.M. (2008). Central extensions of cotangent universal hierarchy: ()-dimensional bi-Hamiltonian systems. https://doi.org/10.1016/j.physleta.2008.10.020

Akses Cepat

Informasi Jurnal
Tahun Terbit
2008
Bahasa
en
Total Sitasi
31×
Sumber Database
Semantic Scholar
DOI
10.1016/j.physleta.2008.10.020
Akses
Open Access ✓