Bidifferential Calculus Approach to AKNS Hierarchies and Their Solutions

We express AKNS hierarchies, admitting reductions to matrix NLS and matrix mKdV hierarchies, in terms of a bidifferential graded algebra. Application of a universal result in this framework quickly generates an infinite family of exact solutions, including e.g. the matrix solitons in the focusing NL...

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Datum:2010
Hauptverfasser: Dimakis, A., Müller-Hoissen, F.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2010
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/146356
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Bidifferential Calculus Approach to AKNS Hierarchies and Their Solutions / A. Dimakis, F. Müller-Hoissen // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 44 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine