Bidifferential Calculus Approach to AKNS Hierarchies and Their Solutions

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
Main Authors: Aristophanes Dimakis, Folkert Müller-Hoissen
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2010-07-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
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

Internet

http://dx.doi.org/10.3842/SIGMA.2010.055

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