A Simple Method for Generating Discrete Multi-Component Integrable Hierarchy

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2010,（11）
• 页码范围: 1-4
• 页数: 4页
• 语种: 英文
• DOI: 10.1088/0256-307X/27/11/110201

摘要

For M×N spectral matrix, a kind of operation ⊙ which satisfies combination law (a⊙b) c=a (b⊙c)is introduced. The discrete multi-component zero-curvature equation is deduced by using the new operation , and a simple method for constructing discrete multi-component integrable hierarchy is proposed. As its application, the multi-component Toda hierarchy and its two kinds of integrable couplings are worked out.