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Classification of all travelling-wave solutions for some nonlinear dispersive equations
Lund University, Sweden .ORCID iD: 0000-0001-6191-7769
2007 (English)In: Philosophical Transactions. Series A: Mathematical, physical, and engineering science, ISSN 1364-503X, E-ISSN 1471-2962, Vol. 365, no 1858, 2291-2298 p.Article in journal (Refereed) Published
Abstract [en]

We present a method for the classification of all weak travelling-wave solutions for some dispersive nonlinear wave equations. When applied to the Camassa-Holm or the Degasperis-Procesi equation, the approach shows the existence of not only smooth, peaked and cusped travelling-wave solutions, but also more exotic solutions with fractallike wave profiles.

Place, publisher, year, edition, pages
2007. Vol. 365, no 1858, 2291-2298 p.
Keyword [en]
Camassa-Holm equation, Degasperis-Procesi equation, Travelling waves
National Category
Other Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-163832DOI: 10.1098/rsta.2007.2009ISI: 000249100200009Scopus ID: 2-s2.0-34548229028OAI: oai:DiVA.org:kth-163832DiVA: diva2:802361
Note

QC 20150416

Available from: 2015-04-12 Created: 2015-04-12 Last updated: 2017-12-04Bibliographically approved

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Lenells, Jonatan

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