Discrete KP equation with self-consistent sources

Adam Doliwa, Runliang Lin
2014 Physics Letters A  
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
more » ... he source terms as coming from multidimensional consistency of the Hirota system itself.
doi:10.1016/j.physleta.2014.04.021 fatcat:w3hzvhwjrzbffmbcswuqofnogi