Traveling waves for the nonlinear variational wave equation

dc.contributor.author	Grunert, Katrin
dc.contributor.author	Reigstad, Audun
dc.date.accessioned	2022-03-09T14:02:41Z
dc.date.available	2022-03-09T14:02:41Z
dc.date.created	2021-08-16T10:40:39Z
dc.date.issued	2021
dc.identifier.issn	2662-2963
dc.identifier.uri	https://hdl.handle.net/11250/2984072
dc.description.abstract	We study traveling wave solutions of the nonlinear variational wave equation. In particular, we show how to obtain global, bounded, weak traveling wave solutions from local, classical ones. The resulting waves consist of monotone and constant segments, glued together at points where at least one one-sided derivative is unbounded. Applying the method of proof to the Camassa–Holm equation, we recover some well-known results on its traveling wave solutions.	en_US
dc.language.iso	eng	en_US
dc.publisher	Springer	en_US
dc.rights	Navngivelse 4.0 Internasjonal	*
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/deed.no	*
dc.title	Traveling waves for the nonlinear variational wave equation	en_US
dc.type	Peer reviewed	en_US
dc.type	Journal article	en_US
dc.description.version	publishedVersion	en_US
dc.source.journal	SN Partial Differential Equations and Applications (SN PDE)	en_US
dc.identifier.doi	10.1007/s42985-021-00116-5
dc.identifier.cristin	1926209
cristin.ispublished	true
cristin.fulltext	original
cristin.fulltext	preprint
cristin.qualitycode	1

Except where otherwise noted, this item's license is described as Navngivelse 4.0 Internasjonal