Bidifferential Calculus Approach to AKNS Hierarchies and Their Solutions

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2010
• Hauptverfasser: Dimakis, A., Müller-Hoissen, F.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2010
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/146356
• 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.

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...