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Traveling wave solutions of the Camassa-Holm equation

Lenells, Jonatan LU (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:
author
organization
publishing date
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}},
}