 Korteweg–De Vries equation

The Korteweg-De Vries equationis an integrable nonlinear dispersive equation. Its sign convention here admits negative solitary waves.

The Korteweg–de Vries (KdV) equation is a third-order nonlinear partial differential equation that describes the evolution of waves in shallow water. It is significant in various fields, including fluid dynamics, nonlinear wave theory, and mathematical physics.