In the theory of integrable systems, a compacton (introduced in (Philip Rosenau & James M. Hyman 1993)) is a soliton with compact support. An example of an equation with compacton solutions is the generalization u t + ( u m ) x + ( u n ) x x x = 0 {\displaystyle u_{t}+(u^{m})_{x}+(u^{n})_{xxx}=0\,} of the Korteweg–de Vries equation (KdV equation) with m, n > 1.
In the theory of integrable systems, a compacton (introduced in (Philip Rosenau & James M. Hyman 1993)) is a soliton with compact support. An example of an equation with compacton solutions is the generalization u t + ( u m ) x + ( u n ) x x x = 0 {\displaystyle u_{t}+(u^{m})_{x}+(u^{n})_{xxx}=0\,} of the Korteweg–de Vries equation (KdV equation) with m, n > 1.
Source: Wikipedia "Compacton" · CC BY-SA 4.0
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