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Recursion operators for a class of integrable third-order evolution equations
Luleå tekniska universitet.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2004 (English)In: Studies in applied mathematics (Cambridge), ISSN 0022-2526, E-ISSN 1467-9590, Vol. 112, no 2, p. 201-225Article in journal (Refereed) Published
Abstract [en]

We consider ut=uuxxx+n(u)uxuxx+m(u)u3x+r(u)uxx+p(u)u2x+q(u)ux+s(u) with α= 0 and α= 3, for those functional forms of m, n, p, q, r, s for which the equation is integrable in the sense of an infinite number of Lie–Bäcklund symmetries. Recursion operators which are x- and t-independent that generate these infinite sets of (local) symmetries are obtained for the equations. A combination of potential forms, hodograph transformations, and x-generalized hodograph transformations are applied to the obtained equations.

Place, publisher, year, edition, pages
2004. Vol. 112, no 2, p. 201-225
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-9420DOI: 10.1111/j.0022-2526.2004.01511.xISI: 000187416800004Local ID: 808ad4d0-545f-11db-9592-000ea68e967bOAI: oai:DiVA.org:ltu-9420DiVA, id: diva2:982358
Note
Validerad; 2004; 20061005 (evan)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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