It is shown that the Dym hierarchy of nonlinear evolution equations is invariant under a class of reciprocal Bäcklund transformations. This result is used to construct a generic auto-Bäcklund transformation for the Korteweg-deVries hierarchy in a novel manner. © 1986 IOP Publishing Ltd.
On reciprocal auto-Bäcklund transformations and the Korteweg-de-Vries hierarchy
NUCCI, Maria Clara
1986-01-01
Abstract
It is shown that the Dym hierarchy of nonlinear evolution equations is invariant under a class of reciprocal Bäcklund transformations. This result is used to construct a generic auto-Bäcklund transformation for the Korteweg-deVries hierarchy in a novel manner. © 1986 IOP Publishing Ltd.File in questo prodotto:
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