M-fractional solitons and periodic wave solutions to the Hirota-Maccari system

In this study, we construct several wave solutions to the nonlinear fractional Hirota-Maccari equation with a truncated M-fractional derivative via the extended sinh-Gordon equation expansion method. The constraint conditions that guarantee the existence of valid solutions are stated. We use suitable values of parameters in plotting the 2- and 3-dimensional graphs of the reported solutions.