Non-local conservation laws and flow equations for supersymmetric integrable hierarchies (Q5940454)

This paper deals with an infinite series of Grassmann-odd and Grassmann-even flow equations is defined for a class of supersymmetric integrable hierarchies associated with loop superalgebras. The new flows close a non-abelian superalgebra that has to be regarded as an algebra of symmetry transformations for the hierarchy. It includes the built-in \(N=1\) supersymmetry transformations and, in some cases, extended supersymmetry transformations.