Factorization of the (2+1)dimensional BLP integrable system by the periodic fixed points of its Bäcklund transformations
Abstract
Previously, we have found a factorization of the (1+1)dimensional Toda lattice by the periodic fixed points of its Bäcklund transformations. The Toda flow is realized by two commuting, onedimensional Hamiltonian flows. By a result of Konopelchenko, the LaplaceDarboux transformation is a Bäcklund transformation for the (2+1)dimensional BoitiLeonPempinelli (BLP) equation. A periodic fixed point of the Laplace transformation is an invariant manifold of the BLP flow. This manifold is determined by solutions of the (1+1)dimensional Toda lattice equations. From these results we find that the 2+1 BLP flow is factored by three commuting, onedimensional Hamiltonian flows that are the periodic fixed points of its Bäcklund transformations.
 Publication:

Physics Letters A
 Pub Date:
 November 1991
 DOI:
 10.1016/03759601(91)906069
 Bibcode:
 1991PhLA..160..161W