Backlund transformation for integrable hierarchies: example - mKdV hierarchy

Carregando...
Imagem de Miniatura

Data

2015-01-01

Autores

Gomes, J. F. [UNESP]
Retore, A. L. [UNESP]
Spano, N. I. [UNESP]
Zimerman, A. H. [UNESP]

Título da Revista

ISSN da Revista

Título de Volume

Editor

Iop Publishing Ltd

Resumo

In this note we present explicitly the construction of the mKdV hierarchy and show that it decomposes into positive and negative graded sub-hierarchies. We extend the construction of the Backlund transformation for the sinh-Gordon model to all other positive and negative odd graded equations of motion generated by the same affine algebraic structure. Some simple examples of solutions are explicitly verified to satisfy, in a universal manner, the Backlund transformations for the first few odd (positive and negative) sub-hierarchies.

Descrição

Palavras-chave

Como citar

Xxxth International Colloquium On Group Theoretical Methods In Physics (icgtmp) (group30). Bristol: Iop Publishing Ltd, v. 597, 10 p., 2015.