Four examples of the inverse method as a canonical transformation

DOI10.1063/1.522391zbMath0292.35018OpenAlexW2086557531MaRDI QIDQ4043449

David W. McLaughlin

Publication date: 1975

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.522391

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) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (9)

Constrained Hamiltonian dynamics and the Poisson structure of some integrable systems ⋮ Complex solitons and poles of the sine-Gordon equation ⋮ Action-angle variables for the Gel'fand-Dikii flows ⋮ Lectures on the Inverse Scattering Transform ⋮ Method of action-angle variables and the classical dynamics of a nonlinear Lagrangian ⋮ Gauge equivalence of exactly integrable field theoretic models ⋮ Quantization of a non-Abelian Toda chain ⋮ Nonpersistence of breather families for the perturbed sine Gordon equation ⋮ One smoothing property of the scattering map of the KdV on \(\mathbb{R}\)

Cites Work

• Korteweg-de Vries equation: a completely integrable Hamiltonian system
• Nonlinear-Evolution Equations of Physical Significance
• On the Toda Lattice. II: Inverse-Scattering Solution
• The Toda lattice. II. Existence of integrals
• Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System

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