A hierarchy of Hamiltonian lattice equations associated with the relativistic Toda type system

作者：Yang, Hong-Xiang^*; Shen, Ding; Zhu, Li-Li

来源：Physics Letters A, 2009, 373(31): 2695-2703.

DOI：10.1016/j.physleta.2009.05.048

• Discrete iso-spectral problem
• Semi-direct sum of Lie algebras
• Generalized trace identity
• Hamiltonian structure
• Liouville integrability

By considering a discrete iso-spectral problem, a hierarchy of bi-Hamiltonian relativistic Toda type lattice equations are revisited. After introducing a semi-direct sum Lie algebras Of four by four matrices. integrable coupling system associated with the relativistic Toda type lattice are derived. It is shown that the resulting lattice soliton hierarchy possesses Hamiltonian structures and infinitely many common commuting symmetries as well infinitely many conserved functions. The Liouville integrability of the resulting system is then demonstrated.

• 出版日期2009-7-20
• 单位泰山学院