Degasperis-Procesi equation

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Author: Dr. Antonio Degasperis, Dipartimento di Fisica, Università degli Studi di Roma La Sapienza, Roma, Italy
Author: Dr. michela procesi, Department of Mathematics, University of Naples Federico II, Naples, It

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Degasperis-Procesi equation refers to a nonlinear real partial differential equation in one+one (space+time) dimensions which has two interesting features: it is integrable by means of the inverse spectral theory and it models interaction of shallow water waves. In particular it describes peakons: wave pulses with nonsmooth profile.

Suggested by: Dr. Matteo Sommacal, Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Perugia, Italy
Invited by: Dr. Eugene M. Izhikevich, Editor-in-Chief of Scholarpedia, the peer-reviewed open-access encyclopedia
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