A super-soliton hierarchy and its super-Hamiltonian structure

DOI10.1007/s10773-009-9995-zzbMath1177.37073OpenAlexW2046823901MaRDI QIDQ842651

Zhu Li, Hong Wei Yang, Huan He Dong

Publication date: 25 September 2009

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-009-9995-z

zbMATH Keywords

Lie superalgebrasuperintegrable systemsupertrace identitysuper-Hamiltonian structurestationary zero curvature equation

Mathematics Subject Classification ID

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

Related Items (2)

A class of new Lie algebra, the corresponding g-mKdV hierarchy and its Hamiltonian structure ⋮ Hamiltonian and super-Hamiltonian extensions related to Broer-Kaup-Kupershmidt system

Cites Work

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• Positive and negative hierarchies of integrable lattice models associated with a Hamiltonian pair
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• A supertrace identity and its applications to superintegrable systems
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• A powerful approach to generate new integrable systems
• The quadratic-form identity for constructing the Hamiltonian structure of integrable systems
• A trace identity and its applications to the theory of discrete integrable systems
• A Liouville integrable Hamiltonian system associated with a generalized Kaup-Newell spectral problem

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