The analogue of the Backlund transformation for integrable many-body systems

DOI10.1088/0305-4470/15/12/001zbMath0516.70024OpenAlexW2074128339MaRDI QIDQ3664481

Stefan Wojciechowski

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1088/0305-4470/15/12/001

zbMATH Keywords

analogy to Bäcklund transformationmany particles in line

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) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Partial differential equations of mathematical physics and other areas of application (35Q99) (n)-body problems (70F10) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

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