Non-collisional dynamics of (2+1)-dimensional Broer-Kaup-Kupershmidt system

In this communication, the (2+1)-dimensional Broer-Kaup-Kupershmidt (BKK) system is studied. With the aid of Painlevé Bäcklund transformation method, we have obtained a special class of solution consisting of only one arbitrary function. Consequently, we derive exact wave solutions, including dromion, dromion triplet pairs and multi-rogue waves. To realize dynamics of the wave patterns, we have created 3D plots with the use of symbolic software Mathematica. The obtained solutions are very significant to explore the qualitative interpretations, especially for the civil and coastal engineers in a coastal and harbor design.