Simultaneous separation for the Kowalevski and GoryachevndashChaplygin gyrostats

2002/01/07 by Vadim B. Kuznetsov, Vadim B Kuznetsov · 3 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Mathematics and Applications #Nonlinear Waves and Solitons #hep-th #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1088/0305-4470/35/30/315

published as J.Phys.A35:6419-6430,2002 · 15 pages, numeration of formulas corrected

arxiv created 2002/01/07 · openalex publication_date 2002/07/18 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

In the special case of zero square integral the Kowalevski gyrostat and Goryachev–Chaplygin gyrostat share a simple separation of variables originated from the 4 × 4 Lax matrix.

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