so(p, q) Toda systems

PHYSICA D-NONLINEAR PHENOMENA

卷:248

Article

Charalambides, Stelios A.¹  Damianou, Pantelis A.¹ 

[1] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus

关键词: Toda lattice;    Integrable systems;    Poisson brackets;    Lie algebra;    Hamiltonian systems;   

DOI  :  10.1016/j.physd.2013.01.001

来源: Elsevier

【 摘 要 】

We define an integrable Hamiltonian system of Toda type associated with the real Lie algebra so(p, q). As usual there exist a periodic and a non-periodic version. We construct, using the root space, two Lax pair representations and the associated Poisson tensors. We prove Liouville integrability and examine the multi-Hamiltonian structure. The system is a projection of a canonical A(n) type Toda lattice via a Flaschka transformation. It is also obtained via a complex change of variables from the classical Toda lattice. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free