Abstract
In this work, under consideration is a (2 + 1)-dimensional generic model, known as the HirotaMaccari system, which was studied in plasma physics, fluid dynamics and fiber optics communication systems. The article aims to extract novel soliton solutions of this model with the aid of symbolic computation. Three robust and versatile integration tools of the exp( - omega(chi))-expansion, the first integral, and the sine-Gordon expansion methods are used to extract dark, bright, and singular solitons solutions. Constraints conditions are explicitly presented for the resulting solutions.