Journal of Differential EquationsVolume 217, Issue 2, 15 October 2005, Pages 393-430Traveling wave solutions of the Camassa–Holm equationAuthor links open overlay panelJonatan LenellsShow moreShareCitehttps://doi.org/10.1016/j.jde.2004.09.007Get rights and contentUnder an Elsevier user licenseopen archiveAbstractAll 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.Previous article in issueNext article in issueMSC35Q3537K45KeywordsWater wavesTraveling wavesCamassa–Holm equationRecommended articlesCited by (0)Copyright © 2004 Elsevier Inc. All rights reserved.