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About: Peakon     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:Wave107345593, within Data Space : dbpedia.org associated with source document(s)

Type: yago:WikicatSolitonsyago:Abstraction100002137yago:Event100029378yago:Happening107283608yago:Movement107309781yago:PsychologicalFeature100023100yago:YagoPermanentlyLocatedEntityyago:Soliton107346344yago:TravelingWave107347051yago:Wave107345593 New Facet based on Instances of this Class

In the theory of integrable systems, a peakon ("peaked soliton") 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.