Geodesic
Regular solutions of the Liouville equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 41 (1979) no. 1, pp. 33-39 Cet article a éte moissonné depuis la source Math-Net.Ru

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For the Liouville equation $\varphi_{tt}(t,x)-\varphi_{xx}(t,x)\pm(m^2/2)e^{\varphi(t,x)}=0$ the Goursat problem is solved explicitly and the properties of regular solutions are investigated. The Liouville equation is regarded as a model of a self-interacting scalar field. The asymptotic fields, the classical $S$ matrix, and observable quantities such as the energy and momentum are constructed. 
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     author = {G. P. Jorjadze},
     title = {Regular solutions of the {Liouville} equation},
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G. P. Jorjadze. Regular solutions of the Liouville equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 41 (1979) no. 1, pp. 33-39. http://geodesic.mathdoc.fr/item/TMF_1979_41_1_a4/

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[5] G. P. Jorjadze, A. K. Pogrebkov, M. K. Polivanov, Preprint IC/78/126, Trieste, 1978 | MR