On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation?
| Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
|---|---|
| Data(s) |
27/05/2014
27/05/2014
01/12/2006
|
| Resumo |
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) 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. |
| Identificador |
http://dx.doi.org/10.3842/SIGMA.2006.070 Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), v. 2., 12 p., 2006. 1815-659 http://hdl.handle.net/11449/69302 10.3842/SIGMA.2006.070 WOS:000207065100069 2-s2.0-84857273185 2-s2.0-84857273185.pdf |
| Idioma(s) |
eng |
| Relação |
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |
| Direitos |
openAccess |
| Palavras-Chave | #Bäcklund transformation #Camassa-Holm equation #Integrable hierarchies |
| Tipo |
info:eu-repo/semantics/article |
