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Symmetry, Integrability and Geometry: Methods and Applications, 2016, Volume 12, 087, 17 pp.
DOI: https://doi.org/10.3842/SIGMA.2016.087 (Mi sigma1169) 		 
This article is cited in 10 scientific papers (total in 10 papers)

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

Sandra Carilloab, Mauro Lo Schiavob, Cornelia Schieboldcd

a I.N.F.N. - Sez. Roma1, Gr. IV - Mathematical Methods in NonLinear Physics, Rome, Italy
b Dipartimento “Scienze di Base e Applicate per l’Ingegneria”, Sapienza - Università di Roma, 16, Via A. Scarpa, 00161 Rome, Italy
c Department of Science Education and Mathematics, Mid Sweden University, S-851 70 Sundsvall, Sweden
d Instytut Matematyki, Uniwersytet Jana Kochanowskiego w Kielcach, Poland
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DOI: https://doi.org/10.3842/SIGMA.2016.087
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.
Funding agency
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.
Received: December 8, 2015; in final form August 24, 2016; Published online August 30, 2016
Bibliographic databases:
Document Type: Article
Language: English
Citation: Sandra Carillo, Mauro Lo Schiavo, Cornelia Schiebold, “Bäcklund Transformations and Non-Abelian Nonlinear Evolution Equations: a Novel Bäcklund Chart”, SIGMA, 12 (2016), 087, 17 pp.
Citation in format AMSBIB
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\by Sandra~Carillo, Mauro~Lo Schiavo, Cornelia~Schiebold
\paper B\"acklund Transformations and Non-Abelian Nonlinear Evolution Equations: a Novel B\"acklund Chart
\jour SIGMA
\yr 2016
\vol 12
\papernumber 087
\totalpages 17
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\crossref{https://doi.org/10.3842/SIGMA.2016.087}
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    • This publication is cited in the following 10 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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