Explicit solutions of the (2 + 1)-dimensional Hirota–Maccari system arising in nonlinear optics

In this paper, new exact traveling wave solutions of the [Formula: see text]-dimensional Hirota–Maccari system arising in nonlinear optics are successfully obtained by using two methods, namely, Improved [Formula: see text]-expansion method and general projective Riccati equation method. The considered methods have been successfully implemented to find exact traveling wave solutions for nonlinear evaluation equations (NLEE) coming for describing nonlinear optics. The results obtained by these methods are straightforward and concise mathematical tool to set up the exact solutions of NLEE.