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Inverse scattering transform for the Degasperis-Procesi equation

Research output: Contribution to journalArticlepeer-review

Adrian Constantin, Rossen I. Ivanov, Jonatan Lenells

Original languageEnglish
Pages (from-to)2559-2575
Number of pages17
JournalNONLINEARITY
Volume23
Issue number10
DOIs
PublishedOct 2010

King's Authors

Abstract

We develop the inverse scattering transform (IST) method for the Degasperis-Procesi equation. The spectral problem is an sl(3) Zakharov-Shabat problem with constant boundary conditions and finite reduction group. The basic aspects of the IST, such as the construction of fundamental analytic solutions, the formulation of a Riemann-Hilbert problem, and the implementation of the dressing method, are presented.

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