Discrete KP equation with self-consistent sources
arXiv:1310.4636 · doi:10.1016/j.physleta.2014.04.021
Abstract
We show that the discrete Kadomtsev-Petviashvili (KP) equation with sources obtained recently by the "source generalization" method can be incorporated into the squared eigenfunction symmetry extension procedure. Moreover, using the known correspondence between Darboux-type transformations and additional independent variables, we demonstrate that the equation with sources can be derived from Hirota's discrete KP equations but in a space of higher dimension. In this way we uncover the origin of the source terms as coming from multidimensional consistency of the Hirota system itself.
11 pages; one reference added, several typos or grammatical errors corrected (v2)