Continuous limits for an integrable coupling of the Kac-Van Moerbeke hierarchy

DOI10.1016/j.amc.2012.12.011zbMath1338.37112OpenAlexW1985174987MaRDI QIDQ371457

Li Li, Fa-Jun Yu

Publication date: 10 October 2013

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.12.011

zbMATH Keywords

continuous limitintegrable couplingKac-Van Moerbeke lattice hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics; integrable lattice equations (37K60)

Cites Work

• Unnamed Item
• Variational identities and applications to Hamiltonian structures of soliton equations
• Linear superposition principle applying to Hirota bilinear equations
• A lattice hierarchy and its continuous limits
• The Toda hierarchy and the KdV hierarchy
• Integrable theory of the perturbation equations.
• Bilinear forms and Bäcklund transformations of the perturbation systems
• Semi-direct sums of Lie algebras and continuous integrable couplings
• Restricted flows of a hierarchy of integrable discrete systems
• On the continuous limit of integrable lattices. I: The Kac-Moerbeke system and KdV theory
• The multi-component generalized Wadati-Konono-Ichikawa (WKI) hierarchy and its multi-component integrable couplings system with two arbitrary functions
• 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
• Integrable couplings of vector AKNS soliton equations
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• Coupled KdV Equations of Hirota-Satsuma Type
• Characteristic Numbers of Matrix Lie Algebras
• Continuous limits for the Kac-Van Moerbeke hierarchy and for their restricted flows
• A direct method for integrable couplings of TD hierarchy
• A bi-Hamiltonian formulation for triangular systems by perturbations
• A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling
• A discrete variational identity on semi-direct sums of Lie algebras
• Nonlinearization of spectral problems for the perturbation KdV systems
• Integrable couplings of soliton equations by perturbations. I: A general theory and application to the KdV hierarchy

This page was built for publication: Continuous limits for an integrable coupling of the Kac-Van Moerbeke hierarchy