Hamiltonian Structures and Integrability for a Discrete Coupled KdV-Type Equation Hierarchy

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2011,（5）
• 页码范围: 4-7
• 页数: 4页
• 语种: 英文
• DOI: 10.1088/0256-307X/28/5/050202

摘要

Coupled Korteweg-de Vries(KdV) systems have many important physical applications.By considering a 4 × 4spectral problem,we derive a discrete coupled KdV-type equation hierarchy.Our hierarchy includes the coupled Volterra system proposed by Lou et al.(e-print arXiv:0711.0420) as the first member which is a discrete version of the coupled KdV equation.We also investigate the integrability in the Liouville sense and the multi-Hamiltonian structures for the obtained hierarchy.