Geodesic
Complete integrability of dynamical systems generated by singular solutions of liouville's equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 2, pp. 161-170 
A. K. Pogrebkov. Complete integrability of dynamical systems generated by singular solutions of liouville's equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 2, pp. 161-170. http://geodesic.mathdoc.fr/item/TMF_1980_45_2_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Variables of the action-angle type and the hamiltonian are constructed for a dynamical system of $N$ relativistic interacting particles the world lines of which coincide with the singular lines of the equation $\varphi_{tt}-\varphi_{xx}+(m^2/2)\exp\varphi=0$. The construction is performed in the usual one-time parametrization as well as in an arbitrary relativistic parametrization.

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