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A NEW (γn, σk)-KP HIERARCHY AND GENERALIZED DRESSING METHOD

机译:一种新的(γn,σk)-KP层次和广义整理方法

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摘要

A new (γ_(n), σ_(k))-KP hierarchy (KPH) 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))-KPH are studied. The dressing method is generalized to the (γ_(n), σ_(k))-KPH and some solutions are presented.
机译:具有两个新时间序列γ_(n)和σ_(k)的新(γ_(n),σ_(k))-KP层次结构(KPH),其中包括γ_(n)-流,σ_(k)-流提出了本征函数的混合γ_(n)和σ_(k)演化方程。研究了(γ_(n),σ_(k))-KPH的两个折减和约束流。将修整方法推广到(γ_(n),σ_(k))-KPH并给出一些解决方案。

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