Gradient theorem for completely integrable Hamiltonian systems

DOI10.1063/1.525229zbMath0501.58019OpenAlexW1966894309MaRDI QIDQ3966803

M. D. Arthur, K. M. Case

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525229

zbMATH Keywords

Poisson bracketsKorteweg-de Vries equationZakharov-Shabat eigenvalue problemcompletely integrable Hamiltonian system

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (3)

Lie transformations, similarity reduction, and solutions for the nonlinear Madelung fluid equations with external potential ⋮ On a new hierarchy of Hamiltonian soliton equations ⋮ Lie–Bäcklund symmetries of certain nonlinear evolution equations under perturbation around their solutions

Cites Work

• A simple model of the integrable Hamiltonian equation
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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