Two super-integrable hierarchies and their super-Hamiltonian structures

DOI10.1016/j.cnsns.2010.04.009zbMath1221.37135OpenAlexW2054971483MaRDI QIDQ718293

Sixing Tao, Tie-cheng Xia

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.04.009

zbMATH Keywords

super-Hamiltonian structuresuper-trace identityLie super algebrasuper-integrable system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (7)

A integrable generalized super-NLS-mKdV hierarchy, its self-consistent sources, and conservation laws ⋮ The conservation laws and self-consistent sources for a super-Yang hierarchy ⋮ The binary nonlinearization of the super integrable system and its self-consistent sources ⋮ Darboux transformations for super-Schrödinger equation, super-Dirac equation and their exact solutions ⋮ Conservation laws for a super G-J hierarchy with self-consistent sources ⋮ A super integrable hierarchy and its nonlinear super integrable Hamiltonian couplings ⋮ New super integrable hierarchies associated with \(\operatorname{osp}(2|2)\) and \(\operatorname{spo}(2|2)\) and their applications

Cites Work

• Unnamed Item
• Lie algebras and Lie super algebra for the integrable couplings of NLS-mKdV hierarchy
• Two types of Lie super-algebra for the super-integrable tu-hierarchy and its super-Hamiltonian structure
• Integrable theory of the perturbation equations.
• A generalized Boite-Pempinelli-Tu (BPT) hierarchy and its bi-Hamiltonian structure
• On Liouville integrability of zero-curvature equations and the Yang hierarchy
• A supertrace identity and its applications to superintegrable systems
• A subalgebra of Lie algebra A2 and its associated two types of loop algebras, as well as Hamiltonian structures of integrable hierarchy
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• Heisenberg subalgebra, dressing approach and super bi-Hamiltonian integrable system
• An approach to generate superextensions of integrable systems
• Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
• 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

This page was built for publication: Two super-integrable hierarchies and their super-Hamiltonian structures