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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Bibliographic Details

Published in:	Symmetry, Integrability and Geometry: Methods and Applications
Main Authors:	Aristophanes Dimakis, Folkert Müller-Hoissen
Format:	Article
Language:	English
Published:	National Academy of Science of Ukraine 2010-07-01
Subjects:	AKNS hierarchy negative flows Miura transformation bidifferential graded algebra Heisenberg magnet mKdV NLS sine-Gordon vector short pulse equation matrix solitons
Online Access:	http://dx.doi.org/10.3842/SIGMA.2010.055