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On the weakly dissipative Camassa-Holm, Degasperis-Procesi, and Novikov equations
Baylor University, United States .ORCID iD: 0000-0001-6191-7769
2013 (English)In: Journal of Differential Equations, ISSN 0022-0396, E-ISSN 1090-2732, Vol. 255, no 3, 441-448 p.Article in journal (Refereed) Published
Abstract [en]

We show that the weakly dissipative Camassa-Holm, Degasperis-Procesi, Hunter-Saxton, and Novikov equations can be reduced to their non-dissipative versions by means of an exponentially time-dependent scaling. Hence, up to a simple change of variables, the non-dissipative and dissipative versions of these equations are equivalent. Similar results hold also for the equations in the so-called b-family of equations as well as for the two-component and μ-versions of the above equations.

Place, publisher, year, edition, pages
2013. Vol. 255, no 3, 441-448 p.
Keyword [en]
Camassa-Holm equation, Degasperis-Procesi equation, Novikov equation, Weak dissipation
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-163796DOI: 10.1016/j.jde.2013.04.015ISI: 000319241000007Scopus ID: 2-s2.0-84892514578OAI: oai:DiVA.org:kth-163796DiVA: diva2:802398
Note

QC 20150417

Available from: 2015-04-13 Created: 2015-04-12 Last updated: 2017-12-04Bibliographically approved

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Lenells, Jonatan

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