Bäcklund transformations for many-body systems related to KdV

DOI10.1088/0305-4470/32/27/102zbMath0952.37054arXivsolv-int/9904003OpenAlexW3124444888MaRDI QIDQ4947658

Andrew N. W. Hone, Orlando Ragnisco, Vadim B. Kuznetsov

Publication date: 25 April 2000

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

Full work available at URL: https://arxiv.org/abs/solv-int/9904003

zbMATH Keywords

Bäcklund transformationsHénon-Heiles systemNeumann systemGarnier systemGaudin magnetKdV model\(n\)-body systems

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) Discrete version of topics in analysis (39A12) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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