Multiple rogue wave solutions for a modified (2 + 1)-dimensional nonlinear evolution equation

This study primarily focuses on the multiple rogue wave solutions with a controllable center of the modified (2+1)-dimensional nonlinear evolution equation,which describes wave phenomena in the ocean.We analyze this (2+1)-dimensional nonlinear evolution equation using the Hirota bilinear transformation and a symbolic computation method to derive their solutions for 1-rogue waves, 2-rogue waves, and 3-rogue waves. These dynamic behaviors are effectively illustrated with images,which aid in understanding the nonlinear phenomena described by the equation,thereby enhancing the comprehension of the associated physical processes.