Bright and dark N-soliton solutions for the (2+1)-dimensional Maccari system

摘要

Under investigation in this paper is the (2+1)-dimensional Maccari system, which is related to the Kadomtsev-Petviashvili (KP) equation. Bright and dark N-soliton solutions in terms of the Gramian are obtained via the KP hierarchy reduction. Oblique and parallel interactions between the bright solitons and between the dark solitons are studied analytically and graphically. We find that there are elastic and inelastic interactions for the bright solitons, but there are only elastic interactions for the dark solitons. Resonance, breather, attraction and repulsion structures are presented. It is expected that these soliton interactions have potential applications in fluid dynamics, nonlinear optics and plasma physics.