Continuous limits for an integrable coupling system of Toda equation hierarchy

DOI10.1016/j.physleta.2009.07.077zbMath1233.37038OpenAlexW2092411074MaRDI QIDQ665355

Li Li, Fa-Jun Yu

Publication date: 5 March 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.07.077

zbMATH Keywords

continuous limitintegrable coupling systemlattice hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Continuum limits in quantum field theory (81T27) Applications of Lie groups to the sciences; explicit representations (22E70) Soliton equations (35Q51)

Cites Work

• A lattice hierarchy and its continuous limits
• The Toda hierarchy and the KdV hierarchy
• Restricted flows of a hierarchy of integrable discrete systems
• On the continuous limit of integrable lattices. I: The Kac-Moerbeke system and KdV theory
• Two pairs of Lie algebras and the integrable couplings as well as the Hamiltonian structure of the Yang hierarchy
• Upper Triangular Matrix of Lie Algebra and a New Discrete Integrable Coupling System
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• On the Continuous Limit of Integrable Lattices II. Volterra Systems and SP(N) Theories
• On the continuous limit of integrable lattices III. Kupershmidt systems and KdV theories
• Continuous limits for the Kac-Van Moerbeke hierarchy and for their restricted flows
• A direct method for integrable couplings of TD hierarchy
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