Asymptotics of the solutions of the one-dimensional nonlinear system of equations of shallow water with degenerate velocity
type: Item
instance of: scholarly article
title: Asymptotics of the solutions of the one-dimensional nonlinear system of equations of shallow water with degenerate velocity
zbMATH Open document ID: 1278.35180
DOI: 10.1134/S0001434612110090
author: D. S. Minenkov
published in: Mathematical Notes
publication date: 2013-04-15T00:00:00Z
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 6153798
zbMATH Keywords: nonlinear system of equations of shallow water
zbMATH Keywords: Carrier-Greenspan transformation
zbMATH Keywords: Cauchy problem
zbMATH Keywords: Schwartz space
zbMATH Keywords: Duhamel integral
zbMATH Keywords: Hankel transform
MaRDI profile type: Publication
cites work: Water waves of finite amplitude on a sloping beach
cites work: Geometric asymptotics for a degenerate hyperbolic equation
cites work: Localized solutions of one-dimensional non-linear shallow-water equations with velocity $ c=\sqrt x$
cites work: Asymptotic solution of the one-dimensional wave equation with localized initial data and with degenerating velocity. I
cites work: NIST digital library of mathematical functions
full work available at URL: s0001434612110090
OpenAlex ID: W2030189886
describes a project that uses: Digital Library of Mathematical Functions
description: scientific article; zbMATH DE number 6153798