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<正>A new C-type subhierarchy for KP hierarchy with two new time seriesγ_n andσ_k((γ_n,σ_k)-CKPH),whichconsists ofγ_n-flow,σ_k-flow and mixedγ_n andσ_k evolution equations of eigenfunctions,is proposed.The zero-curvaturerepresentation for the(γ_n,σ_k