科研之友
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摘要
Inspired by the squared eigenfunction symmetry constraint, we introduce a new tau(k) -flow by 'extending' a specific t(n)-flow of a discrete KP hierarchy (DKPH). We construct an extended discrete KPH (exDKPH), which consists of t(n)-flow, tau(k)-flow and t(n) evolution of eigenfunction and adjoint eigenfunctions, and its Lax representation. The exDKPH contains two types of discrete KP equation with self-consistent sources (DKPESCS). Two reductions of exDKPH are obtained. The generalized dressing approach for solving the exDKPH is proposed and the N-soliton solutions of two types of the DKPESCS are presented.
