A hierarchy of nonlinear evolution equations based on the IKW nonlinear oscillation equation is shown to be invariant under a reciprocal Bäcklund transformation. This result is seen to be a consequence of a simple invariance of the modified Korteweg-deVries hierarchy.
On reciprocal auto-Bäcklund transformations: application to a new nonlinear hierarchy
NUCCI, Maria Clara;
1986-01-01
Abstract
A hierarchy of nonlinear evolution equations based on the IKW nonlinear oscillation equation is shown to be invariant under a reciprocal Bäcklund transformation. This result is seen to be a consequence of a simple invariance of the modified Korteweg-deVries hierarchy.File in questo prodotto:
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