On a wave field transformation described by the two-dimensional Kadomtsev-Petviashvili equation

The problem of interaction of a smooth nonlinear two-dimensional wave field and a large-amplitude quasi-plane solitary wave is considered in the framework of the Kadomtsev-Petviashvili equation by means of the asymptotic multiscale technique. It is shown that their interaction results in an essential transformation of a nonlinear wave field including the birth, death and translation of soliton components of the field spectrum.