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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/69302
Title: 
On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation?
Author(s): 
Institution: 
  • University of Illinois at Chicago
  • Universidade Estadual Paulista (UNESP)
ISSN: 
1815-659
Sponsorship: 
  • Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
  • Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
Abstract: 
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.
Issue Date: 
1-Dec-2006
Citation: 
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), v. 2., 12 p., 2006.
Keywords: 
  • Bäcklund transformation
  • Camassa-Holm equation
  • Integrable hierarchies
Source: 
http://dx.doi.org/10.3842/SIGMA.2006.070
URI: 
Access Rights: 
Acesso aberto
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/69302
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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