Newton representation of nonlinear ordinary differential equations

DOI10.1016/0378-4371(93)90467-IzbMath0803.34006OpenAlexW2075045610MaRDI QIDQ1330370

Maciej Błaszak, Stefan Rauch-Wojciechowski

Publication date: 3 January 1995

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

Full work available at URL: https://doi.org/10.1016/0378-4371(93)90467-i

zbMATH Keywords

parametrizationNewton equationshigher order ODEintegrable mechanical systemsPoisson bracket of third orderstationary flows of soliton equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items

On separability of bi-Hamiltonian chain with degenerated Poisson structures, A generalized Henon–Heiles system and related integrable Newton equations, Quantized W-algebra of sl(2, 1) and Quantum Parafermions of Uq(^sl(2))

Cites Work

• The Hénon-Heiles system revisited
• Miura map and Bi-Hamiltonian formulation for restricted flows of the KdV hierarchy