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Invariance of the Kaup-Kupershmidt equation and triangular auto-Bäcklund transformations
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0003-0370-7274
2012 (English)In: Journal of Nonlinear Mathematical Physics, ISSN 1402-9251, E-ISSN 1776-0852, Vol. 19, no 3, p. 1220001/1-1220001/7Article in journal (Refereed) Published
Abstract [en]

We report triangular auto-Bäcklund transformations for the solutions of a fifth-order evolution equation, which is a constraint for an invariance condition of the Kaup-Kupershmidt equation derived by E. G. Reyes in his paper titled ``Nonlocal symmetries and the Kaup-Kupershmidt equation'' [ Math. Phys., 46, 073507, 19 pp., 2005]. These auto-Bäcklund transformations can then be applied to generate solutions of the Kaup-Kupershmidt equation. We show that triangular auto-Bäcklund transformations result from a systematic multipotentialisation of the Kupershmidt equation.

Place, publisher, year, edition, pages
2012. Vol. 19, no 3, p. 1220001/1-1220001/7
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-7401DOI: 10.1142/S140292511220001XISI: 000308945700001Scopus ID: 2-s2.0-84866672220Local ID: 5c5b17ef-45b0-45a8-9a87-5a2b3c4ee653OAI: oai:DiVA.org:ltu-7401DiVA, id: diva2:980290
Note

Validerad; 2012; 20120919 (norbert)

Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Euler, MariannaEuler, Norbert

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