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