Equations for bi-directional waves over an uneven bottom

DOI10.1016/S0378-4754(02)00193-3zbMath1013.76014OpenAlexW2109473054MaRDI QIDQ1869164

Yanyan Li

Publication date: 9 April 2003

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

Full work available at URL: https://doi.org/10.1016/s0378-4754(02)00193-3

zbMATH Keywords

uneven bottomwater wavesBoussinesq systemsbottom topographynonlinear dispersive wavesmoving bottomwater channelbi-directional surface wavesexternally forced systems

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items

Propagation of water waves over uneven bottom under the effect of surface tension ⋮ New long time existence results for a class of Boussinesq-type systems ⋮ Boussinesq systems in two space dimensions over a variable bottom for the generation and propagation of tsunami waves ⋮ Mathematical analysis of bump to bucket problem ⋮ Generalized regularized long wave equation with white noise dispersion ⋮ Influence of bottom topography on long water waves ⋮ Well-posedness for the \(BBM\)-equation in a quarter plane ⋮ Galerkin finite element methods for the numerical solution of two classical-Boussinesq type systems over variable bottom topography ⋮ Large time existence for 3D water waves and asymptotics ⋮ Long time existence results for bore-type initial data for BBM-Boussinesq systems ⋮ Effects of viscosity and surface tension on soliton dynamics in the generalized KdV equation for shallow water waves ⋮ Analytical and Rothe time-discretization method for a Boussinesq-type system over an uneven bottom ⋮ INFLUENCE OF SURFACE TENSION AND BOTTOM TOPOGRAPHY ON INTERNAL WAVES ⋮ Boussinesq-Peregrine water wave models and their numerical approximation ⋮ A regularized shallow-water waves system with slip-wall boundary conditions in a basin: theory and numerical analysis

Cites Work

• Regularity and uniqueness of solutions to the Boussinesq system of equations
• Existence of solutions for the Boussinesq system of equations
• Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
• A Boussinesq system for two-way propagation of nonlinear dispersive waves
• Solitary-wave and multi-pulsed traveling-wave solutions of boussinesq systems
• Generation of upstream advancing solitons by moving disturbances
• Long waves on a beach
• Unnamed Item

This page was built for publication: Equations for bi-directional waves over an uneven bottom