Bäcklund Transformations and Non-Abelian Nonlinear Evolution Equations: a Novel Bäcklund Chart

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dc.contributor.authorCarillo, S.
dc.contributor.authorLo Schiavo, M.
dc.contributor.authorSchiebold, C.
dc.date.accessioned2019-02-16T09:18:09Z
dc.date.available2019-02-16T09:18:09Z
dc.date.issued2016
dc.description.abstractClasses 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.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue on Analytical Mechanics and Dif ferential Geometry in honour of Sergio Benenti. The full collection is available at http://www.emis.de/journals/SIGMA/Benenti.html. The financial support of G.N.F.M.-I.N.d.A.M., I.N.F.N. and Sapienza University of Rome, Italy are gratefully acknowledged. C. Schiebold wishes also to thank S.B.A.I. Dept. and Sapienza University of Rome for the kind hospitality. The authors wish to thank the referees who carefully read this work: their comments were of help in improving its presentation.uk_UA
dc.identifier.citationBäcklund Transformations and Non-Abelian Nonlinear Evolution Equations: a Novel Bäcklund Chart / S. Carillo, M. Lo Schiavo, C. Schiebold // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 58 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.otherDOI:10.3842/SIGMA.2016.087
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147853
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleBäcklund Transformations and Non-Abelian Nonlinear Evolution Equations: a Novel Bäcklund Chartuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік