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

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік
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dc.contributor.author	Carillo, S.
dc.contributor.author	Lo Schiavo, M.
dc.contributor.author	Schiebold, C.
dc.date.accessioned	2019-02-16T09:18:09Z
dc.date.available	2019-02-16T09:18:09Z
dc.date.issued	2016
dc.identifier.citation	Bäcklund 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.issn	1815-0659
dc.identifier.other	DOI:10.3842/SIGMA.2016.087
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147853
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	This 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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Bäcklund Transformations and Non-Abelian Nonlinear Evolution Equations: a Novel Bäcklund Chart	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA