%0 Journal Article %A V. A. Tupchiev %T 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 %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1972 %P 770-775 %V 12 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1972_12_3_a16/ %G ru %F ZVMMF_1972_12_3_a16