Gauge Miura and Backlund Transformations for Generalized $A_n$-KdV Hierarchies

J. M. de Carvalho Ferreira, J. F. Gomes, G. V. Lobo and. A. H. Zimerman

The construction of Miura and Bäcklund transformations for $A_n$ mKdV and KdV hierarchies are presented in terms of gauge transformations acting upon the zero curvature representat…