The Discrete Symmetries of the N=2 Supersymmetric GNLS Hierarchies

Abstract

The discrete symmetry transformations of the N=2 supersymmetric (n,m)-GNLS hierarchy are constructed. Their bosonic limit is analyzed and new discrete symmetries of the modified GNLS hierarchy are derived. The explicit relations connecting the integrable hierarchy, produced by the junction of the Lax operators for the N=2 supersymmetric a=4 KdV and (n-1,m)-GNLS hierarchies, to the N=2 supersymmetric (n,m)-GNLS hierarchy are established.

8 pages, latex, no figures, report-no added

Cited by in corpus (4)

• The Hamiltonian structure of the N=2 supersymmetric GNLS hierarchy
• Coset approach to the N=2 supersymmetric matrix GNLS hierarchies
• Generalized N=4 supersymmetric Toda lattice hierarchy and N=4 superintegrable mapping
• N=4 supersymmetric integrable systems