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A super-soliton hierarchy and its super-Hamiltonian structure. (English) Zbl 1177.37073

The authors investigate a super-soliton hierarchy and its super-Hamiltonian structure based on Lie-super-algebra and associated super-trace identity by using conclusions of W.-X. Ma, J.-S. He and Z.-Y. Qin in [J. Math. Phys. 49, No. 3, 033511, 13 p. (2008; Zbl 1153.81398)].

MSC:

37K30 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures
17B01 Identities, free Lie (super)algebras

Citations:

Zbl 1153.81398
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References:

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