Bäcklund transformations and non-abelian nonlinear evolution equations: A novel bäcklund chart
2016 (English)In: SIGMA. Symmetry, Integrability and Geometry, ISSN 1815-0659, E-ISSN 1815-0659, Vol. 12, 087Article in journal (Refereed) Published
Classes of third order non-Abelian evolution equations linked to that of Korteweg-de Vries-type are investigated and their connections represented in a non-commutative Bäcklund chart, generalizing results in [Fuchssteiner B., Carillo S., Phys. A 154 (1989), 467-510]. The recursion operators are shown to be hereditary, thereby allowing the results to be extended to hierarchies. The present study is devoted to operator nonlinear evolution equations: general results are presented. The implied applications referring to finite-dimensional cases will be considered separately.
Place, publisher, year, edition, pages
2016. Vol. 12, 087
IdentifiersURN: urn:nbn:se:miun:diva-28915DOI: 10.3842/SIGMA.2016.087ISI: 000383277400001ScopusID: 2-s2.0-84986576759OAI: oai:DiVA.org:miun-28915DiVA: diva2:974418