Geodesic
Perturbation of a shock wave
Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 462-466

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The Cauchy problem is considered for the perturbed Hopf equation $u_t+uu_x=\varepsilon f(u)$, $\varepsilon\to0$. The solution in the continuity domain can be expanded in the standard asymptotic series in integral powers of the small parameter. An asymptotic representation is found for the line of propagation of the shock wave. 
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     author = {I. O. Rasskazov},
     title = {Perturbation of a shock wave},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {462--466},
     publisher = {mathdoc},
     volume = {118},
     number = {3},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a16/}
}
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I. O. Rasskazov. Perturbation of a shock wave. Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 462-466. http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a16/