Endre søk
RefereraExporteraLink to record
Permanent link

Direct link
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annet format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annet språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf
Boussinesq's equation for water waves: the soliton resolution conjecture for Sector IV
Centre for Mathematical Sciences, Lund University, 22100 Lund, Sweden.
KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Matematik (Avd.).ORCID-id: 0000-0001-6191-7769
2025 (engelsk)Inngår i: Advanced Nonlinear Studies, ISSN 1536-1365, E-ISSN 2169-0375, Vol. 25, nr 1, s. 106-151Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We consider the Boussinesq equation on the line for a broad class of Schwartz initial data relevant for water waves. In a recent work, we identified ten main sectors describing the asymptotic behavior of the solution, and for each of these sectors we gave an exact expression for the leading asymptotic term in the case when no solitons are present. In this paper, we derive an asymptotic formula in Sector IV, characterized by xt ∈ (√13, 1), in the case when solitons are present. In particular, our results provide an exact expression for the soliton-radiation interaction to leading order and a verification of the soliton resolution conjecture for the Boussinesq equation in Sector IV.

sted, utgiver, år, opplag, sider
Walter de Gruyter GmbH , 2025. Vol. 25, nr 1, s. 106-151
Emneord [en]
Boussinesq equation, long-time asymptotics, Riemann-Hilbert problem
HSV kategori
Identifikatorer
URN: urn:nbn:se:kth:diva-363126DOI: 10.1515/ans-2023-0154ISI: 001388155000001Scopus ID: 2-s2.0-105003027260OAI: oai:DiVA.org:kth-363126DiVA, id: diva2:1956376
Merknad

QC 20250507

Tilgjengelig fra: 2025-05-06 Laget: 2025-05-06 Sist oppdatert: 2025-05-07bibliografisk kontrollert

Open Access i DiVA

Fulltekst mangler i DiVA

Andre lenker

Forlagets fulltekstScopus

Person

Lenells, Jonatan

Søk i DiVA

Av forfatter/redaktør
Lenells, Jonatan
Av organisasjonen
I samme tidsskrift
Advanced Nonlinear Studies

Søk utenfor DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric

doi
urn-nbn
Totalt: 53 treff
RefereraExporteraLink to record
Permanent link

Direct link
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annet format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annet språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf