Geodesic
Separation of Variables in the Kovalevskaya--Goryachev--Chaplygin Gyrostat
Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 2, pp. 240-247

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We construct separation variables for the Kovalevskaya–Goryachev–Chaplygin gyrostat for arbitrary values of the parameters. We show that different separation variables can be constructed for the same integrable system if different integrals of motion are chosen.
Keywords: integrable systems, Hamilton–Jacobi equation, separation of variables. 
@article{TMF_2003_135_2_a4,
     author = {A. V. Tsiganov},
     title = {Separation of {Variables} in the {Kovalevskaya--Goryachev--Chaplygin} {Gyrostat}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {240--247},
     publisher = {mathdoc},
     volume = {135},
     number = {2},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2003_135_2_a4/}
}
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A. V. Tsiganov. Separation of Variables in the Kovalevskaya--Goryachev--Chaplygin Gyrostat. Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 2, pp. 240-247. http://geodesic.mathdoc.fr/item/TMF_2003_135_2_a4/