How We Live Our Company Values: Life First | Peakon
Is Peakon really anonymous??
In the theory of integrable systems, a peakon is a soliton with discontinuous first derivative; the wave profile is shaped like the graph of the function
. Some examples of non-linear partial differential equations with (multi-)peakon solutions are the Camassa–Holm shallow water wave equation, the Degasperis–Procesi equation and the Fornberg–Whitham equation.
Since peakon solutions are only piecewise differentiable, they must be interpreted in a suitable weak sense.
The concept was introduced in 1993 by Camassa and Holm in the short but much cited paper where they derived their shallow water equation.
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