Abstract
We focused on the two-coupled Maccari’s system. With the help of truncated Painlevé approach (TPA), we express local solution in the form of arbitrary functions. From the solution obtained, using its appropriate arbitrary functions, we have generated the rogue wave pattern solutions, rogue wave solutions, and lump solutions. In addition, by controlling the values of the parameters in the solutions, we show the dynamic behaviors of the rogue wave pattern solutions, rogue wave solutions, and lump solutions with the aid of Maple tool. The results of this study will contribute to the understanding of nonlinear wave dynamics in higher dimensional Maccari’s systems.
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