Central extensions of cotangent universal hierarchy: ()-dimensional bi-Hamiltonian systems
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)
Artur Sergyeyev
Błażej M. Szablikowski
Akses Cepat
- Tahun Terbit
- 2008
- Bahasa
- en
- Total Sitasi
- 31×
- Sumber Database
- Semantic Scholar
- DOI
- 10.1016/j.physleta.2008.10.020
- Akses
- Open Access ✓