A LIE SUPERALGEBRA AND CORRESPONDING HIERARCHY OF EVOLUTION EQUATIONS

DOI10.1142/S0217984909021429zbMath1181.37104MaRDI QIDQ5851804

Huan He Dong, Xin-Zeng Wang

Publication date: 25 January 2010

Published in: Modern Physics Letters B (Search for Journal in Brave)

zbMATH Keywords

Lie superalgebrasuperintegrable systemsupertrace identitysuper-Hamiltonian structure

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Identities, free Lie (super)algebras (17B01) Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (3)

The conservation laws and self-consistent sources for a super-Yang hierarchy ⋮ Conservation laws for a super G-J hierarchy with self-consistent sources ⋮ Super Jaulent-Miodek hierarchy and its super Hamiltonian structure, conservation laws and its self-consistent sources

Cites Work

• Positive and negative hierarchies of integrable lattice models associated with a Hamiltonian pair
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. II
• Semi-direct sums of Lie algebras and continuous integrable couplings
• Integrable couplings of the hierarchies of evolution equations.
• Hamiltonian structure of the super evolution equation
• HAMILTONIAN STRUCTURES OF TWO INTEGRABLE COUPLINGS OF THE MODIFIED AKNS HIERARCHY
• A supertrace identity and its applications to superintegrable systems
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• A discrete variational identity on semi-direct sums of Lie algebras
• 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
• Integrable couplings of soliton equations by perturbations. I: A general theory and application to the KdV hierarchy

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