Rational and Semi-Rational Solutions to the (2 + 1)-Dimensional Maccari System

The KP hierarchy reduction method is one of the most reliable and efficient techniques for determining exact solitary wave solutions to nonlinear partial differential equations. In this paper, according technique, rational some other semi-rational (2 + 1)-dimensional Maccari system are investigated. It shown that two different types breathers can be derived, under appropriate parameter constraints, they reduced well known solutions, involving homoclinic orbits, dark soliton or anti-dark solution. For solution, its interaction similar a resonance soliton. Furthermore, by using limiting we derive kinds lump rogue wave. After constructing these further discuss interactions between obtained solutions. interesting obtain parallel breather intersectional breather, which seems very surprising. Finally, also provide new three-state interaction, composed dark-soliton, has never been provided system.