Constrained Hamiltonian dynamics and the Poisson structure of some integrable systems

DOI10.1016/0167-2789(86)90210-1zbMath0607.58017OpenAlexW2091331452MaRDI QIDQ1085500

Fernando Lund

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90210-1

zbMATH Keywords

Poisson bracketphase spaceHamiltonian systemsine-Gordonsymplectic manifoldKorteweg-de VriesKadomtsev-Petviashvili

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) Applications of dynamical systems (37N99) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (2)

Canonical structures for dispersive waves in shallow water ⋮ The Hamiltonian structure of the modified and fifth-order Korteweg–de Vries equation

Cites Work

• Essentially nonlinear one-dimensional model of classical field theory
• Four examples of the inverse method as a canonical transformation
• The Goursat and Cauchy Problems for the Sine-Gordon Equation
• Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System
• Unnamed Item

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