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Long-time asymptotics for the Degasperis-Procesi equation on the half-line
Univ Paris Diderot, Inst Math Jussieu PRG, F-75205 Paris 13, France..
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0001-6191-7769
Inst Low Temp Phys, Math Div, UA-61103 Kharkov, Ukraine.;Kharkov Natl Univ, Sch Math & Comp Sci, UA-61022 Kharkov, Ukraine..
2019 (English)In: Annales de l'Institut Fourier, ISSN 0373-0956, E-ISSN 1777-5310, Vol. 69, no 1, p. 171-230Article in journal (Refereed) Published
Abstract [en]

We analyze the long-time asymptotics for the Degasperis- Procesi equation on the half-line. By applying nonlinear steepest descent techniques to an associated 3 x 3-matrix valued Riemann-Hilbert problem, we find an explicit formula for the leading order asymptotics of the solution in the similarity region in terms of the initial and boundary values.

Place, publisher, year, edition, pages
Annales de l'institut Fourier , 2019. Vol. 69, no 1, p. 171-230
Keywords [en]
Degasperis-Procesi equation, long-time asymptotics, Riemann-Hilbert problem, boundary value problem
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-254126ISI: 000470077400005OAI: oai:DiVA.org:kth-254126DiVA, id: diva2:1328924
Note

QC 20190624

Available from: 2019-06-24 Created: 2019-06-24 Last updated: 2019-06-24Bibliographically approved

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Lenells, Jonatan

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