The gauge transformation of the constrained semi-discrete KP hierarchy

Abstract

In this paper, the gauge transformation of the constrained semi-discrete KP(cdKP) hierarchy is constructed explicitly by the suitable choice of the generating functions. Under the $m$-step successive gauge transformation $T_m$, we give the transformed (adjoint) eigenfunctions and the $\tau$-function of the transformed Lax operator of the cdKP hierarchy.

13 pages, accepted by Modern Physics Letters B

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Cited by in corpus (2)

• The gauge transformation of the constrained semi-discrete KP hierarchy
• The compatibility of additional symmetry and gauge transformations for the constrained discrete Kadomtsev-Petviashvili hierarchy