On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation

On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation

Different gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle θ are constructed and then reduced to the two-component Camassa-Holm model. Only three different independent classes of reductions are encountered corresponding to the angle θ being 0, π/2 or taking any value i...

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Bibliographic Details
Main Authors: Henrik Aratyn, Jose Francisco Gomes, Abraham H. Zimerman
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2006-10-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
integrable hierarchies
Camassa-Holm equation
Bäcklund transformation
Online Access:http://www.emis.de/journals/SIGMA/2006/Paper070/

Internet

http://www.emis.de/journals/SIGMA/2006/Paper070/

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