This article is cited in 11 papers

Brief Communications

Exact Step-Like Solutions of One-Dimensional Shallow-Water Equations over a Sloping Bottom

A. V. Aksenov^ab, S. Yu. Dobrokhotov^cd, K. P. Druzhkov<sup>ad

a</sup> Lomonosov Moscow State University
^b National Engineering Physics Institute "MEPhI", Moscow
^c Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
^d Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region

Keywords: shallow water, linearized system of equations, exact solution, symmetry operator, perturbation, asymptotics.

Received: 15.05.2018

DOI: 10.4213/mzm12100

 English version: Mathematical Notes, 2018, 104:6, 915–921

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