We discuss two supersymmetric KdV-type theories, possessing both a bi-Hamiltonian structure and a Lax formulation. The first one is related to the Lie superalgebra osp(3,2). The second one, related to the Lie superalgebra gl(3,3), is a supersymmetric extension of the classical Boussinesq theory; its relations to the super-Boussinesq equations previously proposed in the literature are also analyzed.
Osp(3,2) and gl(3,3) supersymmetric KdV hierarchies
MOROSI, CARLO;
1994-01-01
Abstract
We discuss two supersymmetric KdV-type theories, possessing both a bi-Hamiltonian structure and a Lax formulation. The first one is related to the Lie superalgebra osp(3,2). The second one, related to the Lie superalgebra gl(3,3), is a supersymmetric extension of the classical Boussinesq theory; its relations to the super-Boussinesq equations previously proposed in the literature are also analyzed.File in questo prodotto:
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