Abstract
Our aim in this paper is to determine rogue-wave solutions for Maccari-system. We also construct multi-waves, homoclinic breathers, M-shaped rational and periodic cross kink solutions with the combination of exponential, rational, trigonometric functions and various bilinear forms. We will also draw graphical structures of our newly attained results and explain their physique.
•The analytical and Closed Form Solutions are obtained.•We consider the Maccari dynamical System.•Weakly dispersive prorogation of waves in mathematical physics.