Exact solutions of one-dimensional nonlinear shallow water equations over even and sloping bottoms
type: Item
instance of: scholarly article
title: Exact solutions of one-dimensional nonlinear shallow water equations over even and sloping bottoms
zbMATH Open document ID: 1297.76027
author: Yu. A. Chirkunov
author: Sergei Yu. Dobrokhotov
author: S. B. Medvedev
author: D. S. Minenkov
published in: Theoretical and Mathematical Physics
publication date: 2014-10-13T00:00:00Z
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 6353940
zbMATH Keywords: invariant solution
zbMATH Keywords: symmetry group
MaRDI profile type: Publication
full work available at URL: s11232-014-0143-4
OpenAlex ID: W1990805769
cites work: Q3245994
cites work: Water waves of finite amplitude on a sloping beach
cites work: Localized solutions of one-dimensional non-linear shallow-water equations with velocity $ c=\sqrt x$
cites work: Rogue waves in nonlinear hyperbolic systems (shallow-water framework)
cites work: Asymptotic solution of the one-dimensional wave equation with localized initial data and with degenerating velocity. I
cites work: Asymptotics of the solutions of the one-dimensional nonlinear system of equations of shallow water with degenerate velocity
cites work: Q4151274
cites work: Q3943693
cites work: Symmetries of Differential Equations. The Hypergeometric and Euler–Darboux Equations
cites work: Q3068222
cites work: On the symmetry classification and conservation laws for quasilinear differential equations of second order
cites work: Linear autonomy conditions for the basic Lie algebra of a system of linear differential equations
cites work: Q4716292
cites work: Q4275389
cites work: A class of exact algebraic localized solutions of the multidimensional wave equation
cites work: On transforms reducing one-dimensional systems of shallow-water to the wave equation with sound speed \(c^2=x\)
cites work: Q5846799
cites work: Q3256014
DOI: 10.1007/S11232-014-0143-4
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description: scientific article; zbMATH DE number 6353940