2001/10/10 by В. В. Соколов, V. Sokolov, Sokolov, V.
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Analytic and geometric function theory #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons #nlin.SI
paper · pdf · doi:10.48550/arxiv.nlin/0110022
9 pages
arxiv created 2001/10/10 · openalex publication_date 2001/10/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A three-parameter family of integrable quadratic Hamiltonians on e(3) and so(4) is presented. When one of the parameters vanishes, the Hamiltonian coincides with the Kowalevski Hamiltonian with the girostatic term. If the other two parameters are equal to zero then the Hamiltonian reduces to a new integrable case of the Kirchhoff equations found recently by the author.