Rogue wave solutions of the generalized (3+1)-dimensional Kadomtsev–Petviashvili equation

Abstract The main attention of this work focus on finding rogue wave solutions. Here, we analytically derived multi-order rogue wave solutions for the generalized ( 3 + 1 )-dimensional Kadomtsev–Petviashvili equation, through its bilinear form and symbolic computation. First, second and third order rogue waves have been systematically analyzed and the numerical simulations are exhibited to look into their dynamical features. Additionally, we have explored the “circular structure” among the obtained rogue waves.