Geodesic
Breaking of weak shock waves in a shallow water
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 18, Tome 173 (1988), pp. 159-162

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The perturbation method is used for statement of some necessary and sufficient conditions of breaking of weak shock waves in a shallow water. 
@article{ZNSL_1988_173_a14,
     author = {Hoang Van Tao},
     title = {Breaking of weak shock waves in a shallow water},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {159--162},
     publisher = {mathdoc},
     volume = {173},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1988_173_a14/}
}
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Hoang Van Tao. Breaking of weak shock waves in a shallow water. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 18, Tome 173 (1988), pp. 159-162. http://geodesic.mathdoc.fr/item/ZNSL_1988_173_a14/