ABSTRACT

We begin with the study of new shock patterns, which are induced by other (cf. (388)) similarity solutions of (374):

u−(x, t) = (−t)αf(y), y = x(−t)β , β = 1+α5 , α ∈ ( 0, 14

) , (453)

{−(ff ′)(4) − βf ′y + αf = 0, y < 0, f(0) = f ′′(0) = f (4)(0) = 0, f(y) = C0|y|αβ (1 + o(1)) as y → −∞, C0 > 0.