Traveling wave solutions of the Camassa-Holm equation
(2005) In Journal of Differential Equations 217(2). p.393-430- Abstract
- All weak traveling wave solutions of the Camassa-Holm equation are classified. We show that, in addition to smooth solutions, there are a multitude of traveling waves with singularities: peakons, cuspons, stumpons, and composite waves.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/220210
- author
- Lenells, Jonatan LU
- organization
- publishing date
- 2005
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Camassa-Holm equation, water waves, traveling waves
- in
- Journal of Differential Equations
- volume
- 217
- issue
- 2
- pages
- 393 - 430
- publisher
- Elsevier
- external identifiers
-
- wos:000232414400007
- scopus:26844435359
- ISSN
- 0022-0396
- DOI
- 10.1016/j.jde.2004.09.007
- language
- English
- LU publication?
- yes
- id
- 9824f077-19ed-4300-8389-29a51ce0c6fb (old id 220210)
- date added to LUP
- 2016-04-01 11:45:57
- date last changed
- 2022-04-20 21:30:39
@article{9824f077-19ed-4300-8389-29a51ce0c6fb, abstract = {{All weak traveling wave solutions of the Camassa-Holm equation are classified. We show that, in addition to smooth solutions, there are a multitude of traveling waves with singularities: peakons, cuspons, stumpons, and composite waves.}}, author = {{Lenells, Jonatan}}, issn = {{0022-0396}}, keywords = {{Camassa-Holm equation; water waves; traveling waves}}, language = {{eng}}, number = {{2}}, pages = {{393--430}}, publisher = {{Elsevier}}, series = {{Journal of Differential Equations}}, title = {{Traveling wave solutions of the Camassa-Holm equation}}, url = {{http://dx.doi.org/10.1016/j.jde.2004.09.007}}, doi = {{10.1016/j.jde.2004.09.007}}, volume = {{217}}, year = {{2005}}, }