On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation

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dc.creatorAratyn, H.
dc.creatorGomes, J. F.
dc.creatorZimerman, A. H.
dc.date2006-10-16
dc.date2006-10-20
dc.date.accessioned2026-07-07T12:20:29Z
dc.date.available2026-07-07T12:20:29Z
dc.descriptionDifferent 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.
dc.descriptionThis is a contribution to the Proc. of the O'Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 2006, Budapest, Hungary), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/hep-th/0610182
dc.identifierhttp://arxiv.org/abs/hep-th/0610182
dc.identifierSIGMA 2:070,2006
dc.identifierdoi:10.3842/SIGMA.2006.070
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213079
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleOn a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation
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