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

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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. 
@article{TMF_1980_45_2_a1,
     author = {A. K. Pogrebkov},
     title = {Complete integrability of~dynamical systems generated by~singular solutions of liouville's equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {161--170},
     publisher = {mathdoc},
     volume = {45},
     number = {2},
     year = {1980},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_45_2_a1/}
}
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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/