Classification of traveling waves for a class of nonlinear wave equations
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
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.
Shallow water equations, Traveling wave solutions
IdentifiersURN: urn:nbn:se:kth:diva-163836DOI: 10.1007/s10884-006-9009-2ISI: 000239113500003ScopusID: 2-s2.0-33744750216OAI: oai:DiVA.org:kth-163836DiVA: diva2:802358
QC 201504272015-04-122015-04-122015-04-27Bibliographically approved