Multiseries Lie groups and asymptotic modules for characterizing and solving integrable models

Carregando...
Imagem de Miniatura

Data

1989-08-01

Orientador

Coorientador

Pós-graduação

Curso de graduação

Título da Revista

ISSN da Revista

Título de Volume

Editor

American Institute of Physics (AIP)

Tipo

Artigo

Direito de acesso

Acesso restrito

Resumo

A multiseries integrable model (MSIM) is defined as a family of compatible flows on an infinite-dimensional Lie group of N-tuples of formal series around N given poles on the Riemann sphere. Broad classes of solutions to a MSIM are characterized through modules over rings of rational functions, called asymptotic modules. Possible ways for constructing asymptotic modules are Riemann-Hilbert and ∂̄ problems. When MSIM's are written in terms of the group coordinates, some of them can be contracted into standard integrable models involving a small number of scalar functions only. Simple contractible MSIM's corresponding to one pole, yield the Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy. Two-pole contractible MSIM's are exhibited, which lead to a hierarchy of solvable systems of nonlinear differential equations consisting of (2 + 1) -dimensional evolution equations and of quite strong differential constraints. © 1989 American Institute of Physics.

Descrição

Palavras-chave

Idioma

Inglês

Como citar

Journal of Mathematical Physics, v. 30, n. 8, p. 1662-1673, 1989.

Itens relacionados

Financiadores