Two new discrete integrable systems

doi:10.1088/1674-1056/22/3/030203

Abstract In this paper, we focus on the construction of new (1+1)-dimensional discrete integrable systems according to a subalgebra of loop algebra Â1. By designing two new (1+1)-dimensional discrete spectral problems, two new discrete integrable systems are obtained, namely, a 2-field lattice hierarchy and a 3-field lattice hierarchy. When deriving the two new discrete integrable systems, we find the generalized relativistic Toda lattice hierarchy and the generalized modified Toda lattice hierarchy. Moreover, we also obtain the Hamiltonian structures of the two lattice hierarchies by means of the discrete trace identity.

Keywords: discrete integrable system Hamiltonian structure loop algebra

Received: 11 May 2012
Revised: 01 November 2012
Accepted manuscript online:

PACS:	02.30.Ik	(Integrable systems)
	03.40.Kf

Corresponding Authors: Chen Xiao-Hong
E-mail: xhchspring@163.com

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Chen Xiao-Hong (陈晓红), Zhang Hong-Qing (张鸿庆) Two new discrete integrable systems 2013 Chin. Phys. B 22 030203

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Two new discrete integrable systems

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