Compacton
In the theory of integrable systems, a compacton, introduced in , is a soliton with compact support. An example of an equation with compacton solutions is the generalization of the Korteweg–de Vries equation (KdV equation) with "m", "n" > 1. The case with "m" = "n" is the Rosenau–Hyman equation as used in their 1993 study; the case "m" = 2, "n" = 1 is essentially the KdV equation. Example. The equation has a travelling wave solution given by This has compact support in "x", and so is a compacton.