A LIOUVILLE INTEGRABLE MULTI-COMPONENT INTEGRABLE SYSTEM AND ITS INTEGRABLE COUPLINGS

DOI10.1142/S0217979209053667zbMath1186.37086OpenAlexW2051595518MaRDI QIDQ3560139

L. Zhu, Huan He Dong, Hong Wei Yang

Publication date: 19 May 2010

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

Full work available at URL: https://doi.org/10.1142/s0217979209053667

zbMATH Keywords

Hamiltonian structureintegrable systemintegrable couplingsloop algebravariational identity

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

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 the hierarchies of evolution equations.
• Integrable couplings of Botie-Pempinelli-Tu (BPT) hierarchy
• A unified expressing model of the AKNS hierarchy and the KN hierarchy, as well as its integrable coupling system
• The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy.
• Integrable couplings of the multi-component Dirac hierarchy and its Hamiltonian structure
• Integrable couplings of the Tu hierarchy and its Hamiltonian structure
• Liouville integrability of perturbation systems of finite-dimensional integrable Hamiltonian systems
• Integrable evolution systems based on Gerdjikov–Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation
• (2+1)-DIMENSIONAL TD HIERARCHY AND ITS INTEGRABLE COUPLINGS
• INTEGRABLE COUPLINGS OF THE TC HIERARCHY AND ITS HAMILTONIAN STRUCTURE
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• Hamiltonian structure of discrete soliton systems
• A direct method for integrable couplings of TD hierarchy
• 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