Nonlinear interaction of ice cover with shallow water waves in channels

DOI10.1017/S0022112002001477zbMath1034.74020OpenAlexW2025419191MaRDI QIDQ4797181

Xun Xia, Hung Tao Shen

Publication date: 2002

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112002001477

zbMATH Keywords

analytical solutionfifth-order KdV equationfloating iceone-dimensional weakly nonlinear equationuniform elastic plate

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Glaciology (86A40)

Related Items (18)

Hydroelastic waves in a channel covered with a free ice sheet ⋮ Three-dimensional waves under ice computed with novel preconditioning methods ⋮ Hydroelastic lumps in shallow water ⋮ Head-on collision between two hydroelastic solitary waves in shallow water ⋮ Bell-polynomial approach applied to the seventh-order Sawada-Kotera-Ito equation ⋮ Deep learning data-driven multi-soliton dynamics and parameters discovery for the fifth-order Kaup-Kuperschmidt equation ⋮ Non-linear waves on shallow water under an ice cover. Higher order expansions ⋮ Progressive flexural–gravity waves with constant vorticity ⋮ Waves propagating along a channel with ice cover ⋮ Gravity-Capillary and Flexural-Gravity Solitary Waves ⋮ Conservation Laws by using the Multiplier Method for a Fifth-Order Kdv Equation with Time-Dependent Coefficients and Linear Damping ⋮ Envelope Equations for Three-Dimensional Gravity and Flexural-Gravity Waves Based on a Hamiltonian Approach ⋮ Flexural-gravity waves in ice channel with a lead ⋮ Hydroelastic waves propagating in an ice-covered channel ⋮ Soliton molecules and some novel types of hybrid solutions to \((2+1)\)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation ⋮ Fully dispersive models for moving loads on ice sheets ⋮ Investigation on a nonisospectral fifth-order Korteweg-de Vries equation generalized from fluids ⋮ Analytical study of the head-on collision process between hydroelastic solitary waves in the presence of a uniform current

This page was built for publication: Nonlinear interaction of ice cover with shallow water waves in channels