$\sigma_1$ and $\sigma_2$ automorphism of the systems of equations of integrable hierarchies. Discrete and Backlund transformations
Leznov, A. N.
arXiv, 0503043 / Harvested from arXiv
Text on arXiv
It is shown that there exists two inner authomorpism which lead to different form of the sistems equations of integrable hierarchy. We present discrete and Backlund transformation connected with such systems and a general formula for multi-soliton solutions based on these symmetries.
Publié le : 2005-03-16
Classification:  Mathematical Physics 
@article{0503043,
     author = {Leznov, A. N.},
     title = {$\sigma\_1$ and $\sigma\_2$ automorphism of the systems of equations of
  integrable hierarchies. Discrete and Backlund transformations},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0503043}
}

Leznov, A. N. $\sigma_1$ and $\sigma_2$ automorphism of the systems of equations of
  integrable hierarchies. Discrete and Backlund transformations. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0503043/