A class of nonlinear wave patterns for (2+1) dimensional coupled integrable Maccari’s system

Abstract

Abstract In this paper, with the aid of Truncated Painlevé Approach, (2+1) dimensional Coupled Integrable Maccaris System is investigated. The obtained result contains some arbitrary functions which can be properly selected to study the significance of the mathematical problem. Various kinds of localized solutions such as dromion triplet pairs, dromions, and rogue waves are derived from the obtained solution by means of appropriate arbitrary functions. Using suitable initial parameters, arbitrary functions are chosen to investigate the collisional behavior of the dromion triplet pairs in the two-dimensional plane. We graphically illustrated the nonlinear wave structures with the aid of 3D plots. It is worth noting that these localized nonlinear waves are unstable under various situations.