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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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Détails bibliographiques
Auteurs principaux: Aristophanes Dimakis, Folkert Müller-Hoissen
Format: Artigo
Langue:Inglês
Publié: National Academy of Science of Ukraine 2010-07-01
Collection:Symmetry, Integrability and Geometry: Methods and Applications
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Accès en ligne:http://dx.doi.org/10.3842/SIGMA.2010.055
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