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Separation of Variables in the Anisotropic Shottky–Frahm Model

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Abstract

We construct separated coordinates for the completely anisotropic Shottky–Frahm model on an arbitrary coadjoint orbit of SO(4). We find explicit reconstruction formulas expressing dynamical variables in terms of the separation coordinates and write the equations of motion in the Abel-type form.

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Correspondence to T. V. Skrypnyk.

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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 196, No. 3, pp. 465–486, September, 2018.

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Skrypnyk, T.V. Separation of Variables in the Anisotropic Shottky–Frahm Model. Theor Math Phys 196, 1347–1365 (2018). https://doi.org/10.1134/S0040577918090088

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