Aratyn, HenrikGomes, Jose Francisco [UNESP]Zimerman, Abraham H. [UNESP]2014-05-272014-05-272006-12-01Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), v. 2., 12 p., 2006.1815-0659http://hdl.handle.net/11449/69302Different 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.engBäcklund transformationCamassa-Holm equationIntegrable hierarchiesArtigo10.3842/SIGMA.2006.070WOS:000207065100069Acesso aberto2-s2.0-848572731852-s2.0-84857273185.pdf8215976645016606