The Hamiltonian structure of the dispersionless Toda hierarchy

DOI10.1016/0167-2789(95)00229-4zbMath0885.35131arXivsolv-int/9502003OpenAlexW3098467568MaRDI QIDQ1905719

Ian A. B. Strachan, David B. Fairlie

Publication date: 16 January 1996

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9502003

zbMATH Keywords

system of hydrodynamic typegenerating function for the Hamiltonian densitiestwo-dimensional dispersionless Toda hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (7)

Integrable symplectic trilinear interaction terms for matrix membranes ⋮ Infinite series solutions of the symmetry equation for the \((1+2)\)-dimensional continuous Toda chain. ⋮ A Simple Family of Non-Local Poisson Brackets ⋮ A geometry for multidimensional integrable systems ⋮ A geometric Hamilton–Jacobi theory on a Nambu–Jacobi manifold ⋮ Hydrodynamic type integrable equations on a segment and a half-line ⋮ A new construction of recursion operators for systems of hydrodynamic type

Cites Work

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• SDiff(2) Toda equation --- hierarchy, tau function, and symmetries
• Infinite-dimensional gauge groups and special nonlinear gravitons
• On the integrability problem of a continuous Toda system
• Integrable generalizations of the two-dimensional Born-Infeld equation
• The τ‐function of the universal whitham hierarchy, matrix models and topological field theories
• Multi-Hamiltonian structure of equations of hydrodynamic type

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