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Classification of traveling waves for a class of nonlinear wave equations
Lund University, Sweden .ORCID iD: 0000-0001-6191-7769
2006 (English)In: Journal of Dynamics and Differential Equations, ISSN 1040-7294, E-ISSN 1572-9222, Vol. 18, no 2, 381-391 p.Article in journal (Refereed) Published
Abstract [en]

We classify the weak traveling wave solutions for a class of one-dimensional non-linear shallow water wave models. The equations are shown to admit smooth, peaked, and cusped solutions, as well as more exotic waves such as stumpons and composite waves. We also explain how some previously studied traveling wave solutions of the models fit into this classification.

Place, publisher, year, edition, pages
2006. Vol. 18, no 2, 381-391 p.
Keyword [en]
Shallow water equations, Traveling wave solutions
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-163836DOI: 10.1007/s10884-006-9009-2ISI: 000239113500003Scopus ID: 2-s2.0-33744750216OAI: oai:DiVA.org:kth-163836DiVA: diva2:802358
Note

QC 20150427

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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