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 / ROGERS C; NUCCI, Maria Clara; KINGSTON J. G.. - In: IL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. B, GENERAL PHYSICS, RELATIVITY, ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS. - ISSN 1594-9982. - STAMPA. - 96:1(1986), pp. 55-63.
On reciprocal auto-Bäcklund transformations: application to a new nonlinear hierarchy
NUCCI, Maria Clara;
1986
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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