Dromions for the coupled Maccari’s system in fluid mechanics

Abstract Present communication focuses on the coupled Maccari’s (CM’s) system, a Generalized Auxiliary Equation Mapping (GAEM) algorithm is implemented to get a new set of solutions like periodic and doubly periodic, dark, bright, trigonometric, singular, rational, combined soliton like solutions, hyperbolic solutions, etc. Furthermore, it is analyzed that the suggested scheme is efficient and effective for solving nonlinear evolution equations (NLEEs). The integrability of CM’s through Painleve test (P-test) is also addressed. Finally, graphical simulations (2D and 3D) are also provided to illustrate the detailed behavior of the solution and effectiveness of the proposed method.