An integrable coupling system of lattice hierarchy and its continuous limits

DOI10.1016/j.physleta.2009.02.058zbMath1228.37050OpenAlexW2000780579MaRDI QIDQ653569

Li Li, Fa-Jun Yu

Publication date: 19 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.02.058

zbMATH Keywords

continuous limitintegrable coupling systemlattice hierarchy

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) 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) Soliton equations (35Q51)

Cites Work

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• 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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