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Structural properties of the noncommutative KdV recursion operator
Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences, Engineering and Mathematics.
2011 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 52, no 11, 16 p.Art. no. 113504- p.Article in journal (Refereed) Published
Abstract [en]

The present work studies structural properties of the recursion operator of the noncommutative KdV equation. As the main result, it is proved that this operator is hereditary. The notion of hereditary operators was introduced by Fuchssteiner for infinite-dimensional integrable systems, building on classical concepts from differential topology. As an illustration for the consequences of this property, it is deduced that the flows of the noncommutative KdV hierarchy mutually commute.

Place, publisher, year, edition, pages
2011. Vol. 52, no 11, 16 p.Art. no. 113504- p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-12755DOI: 10.1063/1.3656271ISI: 000297938300023Scopus ID: 2-s2.0-82855169632OAI: oai:DiVA.org:miun-12755DiVA: diva2:377808
Available from: 2010-12-14 Created: 2010-12-14 Last updated: 2012-08-08Bibliographically approved

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Schiebold, Cornelia
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CiteExportLink to record
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