Solitons and other solutions to the generalized Maccari system

The generalized Maccari system is studied in this paper. The governing equation is solved both analytically and numerically. The travelling wave solution reveals 1-soliton solution. Subsequently, by using the mapping method and Lie symmetry analysis we also obtain several other solutions that include cnoidal waves and other doubly periodic functions. The parametric domain restrictions are also identified in this paper. Finally, some numerical simulations are given.