Abstract
A new (γA, σB)-matrix KP hierarchy with two time series γA and σB, which consists of γA-flow, σB-flow and mixed γA and σB-evolution equations of eigenfunctions, is proposed. The reduction and constrained flows of (γA, σB)-matrix KP hierarchy are studied. The dressing method is generalized to the (γA, σB)-matrix KP hierarchy and some solutions are presented.
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