Geodesic
Lagrangian Chains and Canonical Bäcklund Transformations
Teoretičeskaâ i matematičeskaâ fizika, Tome 129 (2001) no. 2, pp. 163-183 
V. E. Adler; V. G. Marikhin; A. B. Shabat. Lagrangian Chains and Canonical Bäcklund Transformations. Teoretičeskaâ i matematičeskaâ fizika, Tome 129 (2001) no. 2, pp. 163-183. http://geodesic.mathdoc.fr/item/TMF_2001_129_2_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We consider Darboux transformations for operators of arbitrary order and construct the general theory of Bäcklund transformations based on the Lagrangian formalism. The dressing chain for the Boussinesq equation and its reduction are demonstrative examples for the suggested general theory. We also discuss the well-known Bäcklund transformations for classical soliton equations.

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