Kostyantyn ZHELTUKHIN
Department of Mathematics,
Middle East Technical University,
06531 Ankara,
TURKEY
E-mail: zheltukh@metu.edu.tr

On a transformation between hierarchies of integrable equations

Abstract:
Recently a new hierarchy of integrable equations has been constructed through a deformation of a standard R-matrix (the R-matrix  is considered on the algebra of pseudo-differential operators). We give a transformation between the constructed hierarchy and a hierarchy corresponding to a standard R-matrix.