The relation between the Toda hierarchy and the KdV hierarchy

DOI10.1016/S0375-9601(98)00886-XzbMath0937.37041arXivsolv-int/9812029MaRDI QIDQ1975055

Xin Cao, Yunbo Zeng, Runliang Lin

Publication date: 3 April 2000

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

Full work available at URL: https://arxiv.org/abs/solv-int/9812029

zbMATH Keywords

KdV hierarchyPoisson structurescontinuous limitToda hierarchyKdV flowsToda flows

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (4)

The quadratic-form identity for constructing the Hamiltonian structures of the discrete integrable systems ⋮ A lattice hierarchy and its continuous limits ⋮ The binary nonlinearization of generalized Toda hierarchy by a special choice of parameters ⋮ The exact solutions to a Ragnisco-Tu hierarchy with self-consistent sources

Cites Work

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• 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
• 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 trace identity and its applications to the theory of discrete integrable systems

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