Generic singularities in solutions of the shallow water equations (Q5891663)

This paper is devoted to the construction of an asymptotic solution (in terms of considerations typical for catastrophe theory) to the system of equations of the laminar flow of shallow water by virtue of a local method (similiar to that applied in, e.g., [\textit{V.R. Kudashev} and the author, J. Appl. Math. Mech. 65, No. 3, 441--451 (2001); translation from Prikl. Mat. Mekh. 65, No. 3, 456--466 (2001; Zbl 1010.76505)]).