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