<ul><li>The linear KdV equation is a variant of the nonlinear KdV equation used to model shallow water waves.</li><li>Solitons, which are nonlinear waves that retain their identities in collisions, can still be observed in the solutions to the nonlinear KdV equation.</li><li>The solution to the linear KdV equation is expressed using the Airy function, representing solutions in the context of triple factorials and Bessel functions.</li><li>The linear KdV equation is a third-order linear PDE that arises in various applications.</li></ul>

Linear KdV dispersion

Discover more