Kadomtsev–Petviashvili equation

The Kadomtsev–Petviashvili (KP) equation is a fundamental nonlinear partial differential equation (PDE) that describes the propagation of waves in a quasi-one-dimensional medium. It arises in various fields such as fluid dynamics, plasma physics, and nonlinear optics. The equation serves as a higher-dimensional generalization of the Korteweg–de Vries (KdV) equation, which describes solitons in one dimension.