The Korteweg-de Vries (KdV) equation is a prominent example of nonlinear dispersion equations. Due to its infinite conservation laws, its widespread applications has been found in various fields, including solid, liquid, gas, and plasma physics. In 1895, Dutch mathematicians Diederik Korteweg and Gustav de Vries discovered the KdV equation while studying the long and medium amplitude motion of shallow water waves. The KdV equation represents a class of partial differential equations governing unidirectionally moving shallow water waves. Although Boussinesq introduced the KdV equation in 1877, it was later recognized that the equation can also describe a variety of physical phenomena, such as magnetic current waves, ionic sound waves in plasma, and pressure waves in liquid-gas mixtures.