INTEGRABLE COUPLINGS OF THE TC HIERARCHY AND ITS HAMILTONIAN STRUCTURE

DOI10.1142/S0217984907012955zbMath1133.37332OpenAlexW2031960176MaRDI QIDQ3444893

Zhu Li, Huan He Dong, Yu-Juan Zhang

Publication date: 5 June 2007

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

Full work available at URL: https://doi.org/10.1142/s0217984907012955

zbMATH Keywords

Hamiltonian structureintegrable couplingsquadratic-form identitysemi-direct sums of Lie algebras

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items

Variational identities and applications to Hamiltonian structures of soliton equations ⋮ A NEW HIGHER-DIMENSIONAL LOOP ALGEBRA AND ITS APPLICATION ⋮ Component-trace identities for Hamiltonian structures ⋮ A LIOUVILLE INTEGRABLE MULTI-COMPONENT INTEGRABLE SYSTEM AND ITS INTEGRABLE COUPLINGS ⋮ New matrix Lie algebra and its application ⋮ A few new higher-dimensional Lie algebras and two types of coupling integrable couplings of the AKNS hierarchy and the KN hierarchy ⋮ SOME EXPANDING SEMI-DIRECT SUMS OF LIE ALGEBRA $\bar{G}$ AND ITS APPLICATION ⋮ COUPLING INTEGRABLE COUPLINGS

Cites Work

• Integrable theory of the perturbation equations.
• Semi-direct sums of Lie algebras and continuous integrable couplings
• Enlarging spectral problems to construct integrable couplings of soliton equations
• A generalized Boite-Pempinelli-Tu (BPT) hierarchy and its bi-Hamiltonian structure
• Integrable couplings of Botie-Pempinelli-Tu (BPT) hierarchy
• The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy.
• Integrable systems of derivative nonlinear Schrödinger type and their multi-Hamiltonian structure
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• An approach for constructing nonisospectral hierarchies of evolution equations
• A powerful approach to generate new integrable systems
• An approach to generate superextensions of integrable systems
• The quadratic-form identity for constructing the Hamiltonian structure of integrable systems
• A Liouville integrable Hamiltonian system associated with a generalized Kaup-Newell spectral problem