Abstract
We consider three types of the coupled nonlinear Maccari’s systems. These systems are the nonlinear models that depict the dynamics of isolated waves, detained in a small part of space in plasma physics, optical fibre communications, superfluid and many other fields of applied science. We tackle the unified method to extract exact solutions of the Maccari’s systems. This solver is straight, sturdy and adequate for solving nonlinear partial differential equations arising in natural sciences. The presented solutions admit some interesting applications in some plasma environments, such as new earth’s ionosphere zone. Some 2D and 3D graphs for some selected solutions are given in order to clarify the dynamical physical behaviour of the acquired solutions.
•Nonlinear analysis approach is used to solve the physical models.•Applying the unified solver to the three coupled nonlinear Maccari’s systems in plasma physics.•Highly performance and efficient of the proposed solver.•Obtaining some new solutions for the three coupled nonlinear Maccari’s systems.