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

Artigo

Fecha

2006-12-01

Registro en:

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), v. 2., 12 p., 2006.

1815-0659

http://hdl.handle.net/11449/69302

10.3842/SIGMA.2006.070

WOS:000207065100069

2-s2.0-84857273185

2-s2.0-84857273185.pdf

8215976645016606

http://repositorioslatinoamericanos.uchile.cl/handle/2250/3918761

Autor

University of Illinois at Chicago

Universidade Estadual Paulista (Unesp)

Institución

Universidade Paulista Júlio de Mesquita Filho (Brasil)

Resumen

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.

Materias

Bäcklund transformation

Camassa-Holm equation

Integrable hierarchies

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