Interaction of solitary waves in the system described by the Kadomtsev-Petviashvili equation with a self-consistent source

Abstract

Solitary waves moving with nonconstant velocity are found in the nonlinear integrable system described by the Kadomtsev-Petviashvili equation with a self-consistent source. Explicit expressions are derived for the solutions describing the interaction of an arbitrary number of these waves. It is shown that in contrast with the decay and fusion of solitons, the decay and fusion of the above solitary waves are not of the resonance nature and proceed in the general case. The obtained results are relevant to some problems of hydrodynamics, solid state physics, plasma physics, etc.