Geodesic
Propagation of the discontinueties in a system of two interactive wave equations
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 29, Tome 264 (2000), pp. 299-310

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Propagation of the discontinueties in a system of two wave equations interacting via a potential is described in the case when the velocities coincide at a point. It is shown that a new wave appears behind this point and discontinueties on its wave front contain noninteger derivatives. 
@article{ZNSL_2000_264_a19,
     author = {M. M. Popov and I. N. Shchitov},
     title = {Propagation of the discontinueties in a system of two interactive wave equations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {299--310},
     publisher = {mathdoc},
     volume = {264},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_264_a19/}
}
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M. M. Popov; I. N. Shchitov. Propagation of the discontinueties in a system of two interactive wave equations. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 29, Tome 264 (2000), pp. 299-310. http://geodesic.mathdoc.fr/item/ZNSL_2000_264_a19/