摘要For M×N spectral matrix, a kind of operation ʘ which satisfies combination law (aʘb)ʘc=aʘ(bʘc) is introduced. The discrete multi−component zero-curvature equation is deduced by using the new operation ʘ, 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.
Abstract：For M×N spectral matrix, a kind of operation ʘ which satisfies combination law (aʘb)ʘc=aʘ(bʘc) is introduced. The discrete multi−component zero-curvature equation is deduced by using the new operation ʘ, 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.
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2010, Vol. 27 
