Geodesic
The definition of acoustic signal propagation domain
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 2, pp. 431-454.

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The propagation domain of solution of the Burgers equation with initial function which is equal to zero outside an arbitrary segment is considered. The precise and asymptotical estimations of solution carrier in arbitrary cutting are derived. An algorithm for the carrier determination for arbitrary initial function is presented. The results have numerical applications. 
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     title = {The definition of acoustic signal propagation domain},
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E. A. Lapshin. The definition of acoustic signal propagation domain. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 2, pp. 431-454. http://geodesic.mathdoc.fr/item/FPM_1995_1_2_a6/

[1] O. A. Vasileva, A. A. Karabutov, E. A. Lapshin, O. V. Rudenko, Vzaimodeistvie odnomernykh voln v sredakh bez dispersii, Izd-vo Mosk. un-ta, M., 1983

[2] V. G. Sushko, “O priblizhennykh resheniyakh odnogo kvazilineinogo uravneniya s malym parametrom pri starshei proizvodnoi”, Nekotorye primeneniya metoda setok v gazovoi dinamike, Vyp. 2, M., 1971, 145–251