Singularity structure and algebraic properties of the differential-difference Kadomtsev-Petviashvili equation.
We present a study of the differential-difference Kadomtsev-Petviashvili equation, which was derived using the differential-difference version of Sato's theory. We focus on the singularity structure of the equation, in particular the Painlevé property and singularity confinement. Moreover we study its symmetries (both Lie and generalized) and derive some interesting similarity reductions.
scientific article; zbMATH DE number 1486571
scientific article