K.A. Gorshkov and D.E. Pelinovsky
On a wave field transformation described by the two-dimensional
Kadomtsev - Petviashvili equation
Inverse Problems 11, 603-610 (1995)
Abstract:
The problem of interaction of a smooth nonlinear two-dimensional
wave held 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.
Keywords:
POSITIVE DISPERSION