Local and nonlocal (2 + 1)-dimensional Maccari systems and their soliton solutions

In this work, by using the Hirota bilinear method, we obtain one- and two-soliton solutions of integrable $(2+1)$-dimensional $3$-component Maccari system which is used as a model describing isolated waves localized in very small part space related to well-known systems like nonlinear Schr\"{o}dinger, Fokas, long wave resonance systems. We represent all local Ablowitz-Musslimani type nonlocal reductions new By help reduction formulas soliton system, these reduced $2$-component also illustrate our plotting their graphs for particular values parameters.