The method of generating novel equations by inverse transformation plus change of the dependent variable induced on any singularity manifold equation is proposed. It is shown that the invariance of the singularity manifold equations under the Möbius group leads to reciprocal auto- Bäcklund transformations of these novel equations. The method is illustrated by application to some well-known equations.
M.C. NUCCI (1992). Reciprocal auto-Bäcklund transformations via the Möbius group. ATTI DEL SEMINARIO MATEMATICO E FISICO DELL'UNIVERSITA' DI MODENA, 40, 11-24.
Reciprocal auto-Bäcklund transformations via the Möbius group
M.C. NUCCI
1992
Abstract
The method of generating novel equations by inverse transformation plus change of the dependent variable induced on any singularity manifold equation is proposed. It is shown that the invariance of the singularity manifold equations under the Möbius group leads to reciprocal auto- Bäcklund transformations of these novel equations. The method is illustrated by application to some well-known equations.File in questo prodotto:
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