Affine Lie algebraic origin of constrained KP hierarchies
Carregando...
Arquivos
Data
1995-12-01
Autores
Aratyn, H.
Gomes, J. F. [UNESP]
Zimerman, A. H. [UNESP]
Título da Revista
ISSN da Revista
Título de Volume
Editor
Resumo
An affine sl(n + 1) algebraic construction of the basic constrained KP hierarchy is presented. This hierarchy is analyzed using two approaches, namely linear matrix eigenvalue problem on hermitian symmetric space and constrained KP Lax formulation and it is shown that these approaches are equivalent. The model is recognized to be the generalized non-linear Schrödinger (GNLS) hierarchy and it is used as a building block for a new class of constrained KP hierarchies. These constrained KP hierarchies are connected via similarity-Bäcklund transformations and interpolate between GNLS and multi-boson KP-Toda hierarchies. Our construction uncovers the origin of the Toda lattice structure behind the latter hierarchy. © 1995 American Institute of Physics.
Descrição
Palavras-chave
Como citar
Journal of Mathematical Physics, v. 36, n. 7, p. 3419-3442, 1995.