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

H. Aratyn, J. F. Gomes, A. H. Zimerman

Different gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle $\theta$ are constructed and then reduced to the two-component Camassa--Holm model. Only three…