We discuss two supersymmetric KdV-type theories, possessing both a biHamiltonian structure and a Lax formulation. The first one is related with the Lie superalgebra osp(3,2). The second one, related with the Lie superalgebra gl(3,3), is a supersymmetric extension of the classical Boussinesq theory; its relations with the super-Boussinesq equations proposed previously in the literature are also analyzed.
Osp(3,2) and gl(3,3) supersymmetric KdV hierarchies / C. Morosi, L. Pizzocchero. - In: PHYSICS LETTERS A. - ISSN 0375-9601. - 185:3(1994), pp. 241-252.
Osp(3,2) and gl(3,3) supersymmetric KdV hierarchies
L. Pizzocchero
1994
Abstract
We discuss two supersymmetric KdV-type theories, possessing both a biHamiltonian structure and a Lax formulation. The first one is related with the Lie superalgebra osp(3,2). The second one, related with the Lie superalgebra gl(3,3), is a supersymmetric extension of the classical Boussinesq theory; its relations with the super-Boussinesq equations proposed previously in the literature are also analyzed.
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