Memorias de investigación
Artículos en revistas:
Geometric Integrability of the Camassa-Holm Equation. II
Año:2011
Áreas de investigación
  • Sistemas integrables
Datos
Descripción
It is known that the Camassa-Holm (CH) equation describes pseudo-spherical surfaces and that therefore its integrability properties can be studied by geometrical means. In particular, the CH equation admits nonlocal symmetries of pseudo-potential type: the standard quadratic pseudo-potential associated with the geodesics of the pseudospherical surfaces determined by (generic) solutions to CH, allows us to construct a covering of the equation manifold of CH on which nonlocal symmetries can be explicitly calculated. In this article, we present the Lie algebra of (first-order) nonlocal symmetries for the CH equation, and we show that this algebra contains a semidirect sum of the loop algebra over sl(2,R) and the centerless Virasoro algebra. As applications, we compute explicit solutions, we construct a Darboux transformation for the CH equation, and we recover its recursion operator. We also extend our results to the associated Camassa-Holm equation introduced by J. Schiff.
Internacional
Si
JCR del ISI
Si
Título de la revista
International Mathematics Research Notices
ISSN
1073-7928
Factor de impacto JCR
0,631
Información de impacto
Volumen
DOI
10.1093/imrn/rnr120
Número de revista
Desde la página
1
Hasta la página
37
Mes
JULIO
Ranking
Esta actividad pertenece a memorias de investigación
Participantes
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Grupo de Investigación: Geometría y Sistemas Discretos
  • Departamento: Matemática Aplicada a la Ingeniería Técnica de Telecomunicación