This article is cited in 4 papers

Hugoniót–Maslov Conditions for Vortex Singular Solutions of the Shallow Water Equations

E. S. Semenov

Russian Research Centre "Kurchatov Institute"

Abstract: For the “phase” of vortex singular solutions of the shallow water equations we justify the Hamilton–Jacobi equation corresponding to the hydrodynamical mode of perturbation propagation. We also obtain the next correction to the Cauchy–Riemann conditions describing how the singular part of the solution affects the smooth background.

UDC: 517.9

Received: 14.01.2002

DOI: 10.4213/mzm394

 English version: Mathematical Notes, 2002, 71:6, 825–835

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