Abstract
The inverse scattering transform for the differential-difference Kadomtsev-Petviashvili equation is presented. The properties of Jost function and scattering data are investigated for the direct problem, which is related to a “DBAR” problem and Fourier transform involving both the discrete variable and the continuous one. The inverse problem is formulated and the time evolution of scattering data is given by using the generalized Cauchy integral formula and the time dependent part of the corresponding Lax pair.
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