Asymptotic solution of the cauchy problem for the equation $\varepsilon^2tu_{xx}=u_t+[\varphi(u)]_{x}$, degenerating for $\varepsilon=0$ into the problem of an arbitrary shock disintegration for the rarefaction wave case
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 12 (1972) no. 3, pp. 770-775

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@article{ZVMMF_1972_12_3_a16,
     author = {V. A. Tupchiev},
     title = {Asymptotic solution of the cauchy problem for the equation $\varepsilon^2tu_{xx}=u_t+[\varphi(u)]_{x}$, degenerating for $\varepsilon=0$ into the problem of an arbitrary shock disintegration for the rarefaction wave case},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {770--775},
     publisher = {mathdoc},
     volume = {12},
     number = {3},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1972_12_3_a16/}
}
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V. A. Tupchiev. Asymptotic solution of the cauchy problem for the equation $\varepsilon^2tu_{xx}=u_t+[\varphi(u)]_{x}$, degenerating for $\varepsilon=0$ into the problem of an arbitrary shock disintegration for the rarefaction wave case. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 12 (1972) no. 3, pp. 770-775. http://geodesic.mathdoc.fr/item/ZVMMF_1972_12_3_a16/