Solitary wave solutions of (2+1)-dimensional Maccari system

In this article, three mathematical techniques have been operationalized to discover novel solitary wave solutions of (2+1)-dimensional Maccari system, which also known as soliton equation. This model equation is usually of applicative relevance in hydrodynamics, nonlinear optics and plasma physics. The exp(a) function, the hyperbolic function and the exp(-zeta(xi))-expansion techniques are used to obtain the novel exact solutions of the (2+1)-dimensional Maccari system (arising in nonlinear optics and in plasma physics). Many novel solutions such as periodic wave solutions by exp(a) function method, singular, combined-singular and periodic solutions by hyperbolic function method, hyperbolic, rational and trigonometric solutions by exp(-zeta(xi))-expansion method are obtained. The exact solutions are shown through 3D graphics which present the movement of the obtained solutions.