Lump solutions and their dynamics of a (3+1)-dimensional higher-order Kadomtsev–Petviashvili equation

Key Points

• Lump solutions exhibit unique dynamics driven by the higher-order kadomtsev petviashvili equation, revealing complex wave interactions.
• Key observations include solitary wave behaviors under specific initial conditions, demonstrating non-linear characteristics.
• Analysis of these solutions employs advanced mathematical techniques in nonlinear equations, shedding light on their intricate properties.
• Significance extends to theoretical physics, as understanding these dynamics may enable predictions of wave behavior in various applications.