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On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation
- Source :
- Symmetry, Integrability and Geometry: Methods and Applications, Vol 2, p 070 (2006)
- Publication Year :
- 2006
- Publisher :
- National Academy of Science of Ukraine, 2006.
-
Abstract
- 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 in the interval 0 < θ < π/2. This construction induces Bäcklund transformations between solutions of the two-component Camassa-Holm model associated with different classes of reduction.
Details
- Language :
- English
- ISSN :
- 18150659
- Volume :
- 2
- Database :
- Directory of Open Access Journals
- Journal :
- Symmetry, Integrability and Geometry: Methods and Applications
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.8f766f46b2bc4961b127ed22df695bf8
- Document Type :
- article