Backlund transformation for integrable hierarchies: example - mKdV hierarchy

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

Backlund transformation for integrable hierarchies: example - mKdV hierarchy

Arquivos

WOS000354929400039.pdf (856.51 KB)

Data

2015-01-01

Autores

Editor

Iop Publishing Ltd

Tipo

Trabalho apresentado em evento

Direito de acesso

Acesso aberto

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.