Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5499952 | Journal of Geometry and Physics | 2017 | 17 Pages |
Abstract
Based on the constructed new Lie super-algebra from OSP(2,2), the super bi-Hamiltonian structure of a new super AKNS hierarchy is obtained by making use of super-trace identity. For the new super AKNS system, an explicit symmetry constraint between the potentials and the eigenfunctions is proposed. Moreover, the super AKNS system is decomposed into two compatible finite-dimensional super integrable systems and the obtained super systems are proved to be finite-dimensional super integrable Hamiltonian systems in the super-symmetry manifold R4Nâ£4N.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Xin-Yue Li, Qiu-Lan Zhao,