Abstract
In this paper, the three nonlinear Maccari’s-system (TNLMS) which describes how isolated waves are propagated in a finite region of space is studied. New accurate wave solutions of this model are obtained for the first time using the Riccati–Bernoulli Sub-ODE method (RBSOM) that treats the problem for which the balance rule fails. The efficiency of this method for constructing these exact solutions has been demonstrated. The obtained results give an accurate interpretation of the propagation of these isolated waves. With an appropriate values for the physical parameters, some representative wave structures are graphically presented.
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