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N=2 Superintegrable f-Toda Mapping and Super-NLS Hierarchy in the (1|2) Superspace

V. B. Derjagin·A. N. Leznov·A. S. Sorin
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Abstract

A new integrable N=2 supersymmetric f-Toda mapping in (1|2) superspace, acting like the symmetry transformation of N=2 supersymmetric NLS hierarchy, is proposed. The first two Hamiltonian structures and the recursion operator connecting all evolution systems and Hamiltonian structures of the N=2 super-NLS hierarchy are constructed in explicit form using only invariance conditions with respect to the f-Toda mapping. A new representation for its Hamiltonians is observed.

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V. B. Derjagin, A. N. Leznov, A. S. Sorin. 1997-02-04. N=2 Superintegrable f-Toda Mapping and Super-NLS Hierarchy in the (1|2) Superspace. https://arxiv.org/abs/hep-th/9611108

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