Weakly nonlinear waves in water of variable depth: variable-coefficient Korteweg-de Vries equation

DOI10.1016/J.CAMWA.2010.07.005zbMath1202.35219OpenAlexW1987881546MaRDI QIDQ614356

Hilmi Demiray

Publication date: 27 December 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.07.005

zbMATH Keywords

solitary waveschannel of variable depth

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton equations (35Q51)

Related Items (5)

An intermediate wavelength, weakly nonlinear theory for the evolution of capillary gravity waves ⋮ A note on the progressive wave solution of the perturbed Korteweg-deVries equation with variable dissipation ⋮ Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation ⋮ Weakly nonlinear waves over the bottom disturbed topography: Korteweg-de Vries equation with variable coefficients ⋮ A class of exact nonlinear traveling wave solutions for shallow water with a non-stationary bottom surface

Cites Work

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• Some numerical solutions of a variable-coefficient Korteweg-de Vries equation (with applications to solitary wave development on a shelf)
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