Propagation of axi-symmetric nonlinear shallow water waves over slowly varying depth

DOI10.1016/S0378-4754(00)00294-9zbMath1029.76006arXivnlin/0012047OpenAlexW1964033854WikidataQ127564722 ScholiaQ127564722MaRDI QIDQ5937537

R. S. Johnson, S. M. Killen

Publication date: 8 February 2004

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0012047

zbMATH Keywords

mass conservationKorteweg-de Vries equationcylindrical waveinviscid stationary fluidsolitary-wave solution

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)

Related Items (2)

Weakly nonlinear waves in water of variable depth: variable-coefficient Korteweg-de Vries equation ⋮ A note on the wave propagation in water of variable depth

Cites Work

• Unnamed Item
• Ring waves on the surface of shear flows: a linear and nonlinear theory
• Reflections from solitary waves in channels of decreasing depth
• Shelves and the Korteweg-de Vries equation
• Water waves and Korteweg–de Vries equations
• On the Korteweg—de Vries equation for a gradually varying channel
• Solitary wave, soliton and shelf evolution over variable depth
• A note on an asymptotic solution of the cylindrical Korteweg-de Vries equation.

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