First Integrals Generated by Pseudosymmetries in Nambu-Poisson Mechanics

DOI10.2991/jnmp.2000.7.2.5zbMath1119.37317arXivnlin/0004041OpenAlexW2009932078MaRDI QIDQ4498287

Mircea Crasmareanu

Publication date: 15 August 2000

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

Full work available at URL: https://arxiv.org/abs/nlin/0004041

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

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Cites Work

• The solution to a generalized Toda lattice and representation theory
• On some generalizations of the factorization method
• Connection between the existence of first integrals and the painlevé property in two-dimensional lotka-volterra and quadratic systems
• Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory