New recursive chains of N=1 homogeneous superequations

Abstract:
New examples of N=1 homogeneous superequations that precede the translation symmetry with respect to the (super)recursion operators are described. The Abelian (super) coverings over the initial N=1 systems are reconstructed and weighted (non)local recursion operators as well as the Hamiltonian structures are obtained. Reduction of one system to a super-Burgers equation is performed. An example of Hamiltonian hierarchy whose elements are of growing weights and constant differential order 3/2 is discovered.

Joint work with Professor Thomas WOLF.