New hierarchies of nonlinear evolution equations are introduced which are linked by reciprocal transformations to the Caudrev-Dodd-Gibbon and Kaup-Kupershmidt sequences. Invariance under a Möbius transformation of the singularity manifold equations for these sequences leads to a novel generic invariance properly of the new systems. The latter have as base members Kawamoto-type equations. Explicit auto-Bäcklund transformations for the Caudry-Dodd-Gibbon and Kaup-Kuperschmidt hierarchies are generated via a reciprocal property.
ON RECIPROCAL PROPERTIES OF THE CAUDREY-DODD-GIBBON AND KAUP-KUPERSHMIDT HIERARCHIES / C., Rogers; Carillo, Sandra. - In: PHYSICA SCRIPTA. - ISSN 0031-8949. - STAMPA. - 36:6(1987), pp. 865-869. [10.1088/0031-8949/36/6/001]
ON RECIPROCAL PROPERTIES OF THE CAUDREY-DODD-GIBBON AND KAUP-KUPERSHMIDT HIERARCHIES
CARILLO, Sandra
1987
Abstract
New hierarchies of nonlinear evolution equations are introduced which are linked by reciprocal transformations to the Caudrev-Dodd-Gibbon and Kaup-Kupershmidt sequences. Invariance under a Möbius transformation of the singularity manifold equations for these sequences leads to a novel generic invariance properly of the new systems. The latter have as base members Kawamoto-type equations. Explicit auto-Bäcklund transformations for the Caudry-Dodd-Gibbon and Kaup-Kuperschmidt hierarchies are generated via a reciprocal property.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
