Painlevé analysis and new class of novel solutions for (2+1)-dimensional 3-component coupled nonlinear Maccari's system.

In this work, Painlevé analysis is used to examine the integrability of the (2+1)-dimensional 3-component coupled nonlinear Maccari's system. Subsequently, the truncated Painlevé approach is employed to solve the system, providing solutions in terms of arbitrary functions in space and time. By selecting appropriate arbitrary functions, various field excitations, such as dromion triplet solutions, rogue waves, lumps, peakons and compactons, are constructed. The results are represented graphically to illustrate the behavioral dynamics of the system using Mathematica software. [ABSTRACT FROM AUTHOR]