On the Hamiltonian decomposition of the Boussinesq equations in a pair of coupled Korteweg-de Vries equations.

DOI10.1016/S0165-2125(98)00005-5zbMath1074.76517OpenAlexW2085499867MaRDI QIDQ5960559

Franco Mattioli

Publication date: 8 April 2002

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-2125(98)00005-5

zbMATH Keywords

shallow-water waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (1)

A predictor-corrector scheme for the numerical solution of the Boussinesq equation

Cites Work

• A note on hamiltonian for long water waves in varying depth
• Uni-directional waves over slowly varying bottom. I: Derivation of a KdV- type of equation
• Hamiltonian long-wave approximations to the water-wave problem
• The extended Korteweg-de Vries equation and the resonant flow of a fluid over topography
• Decomposition of the Boussinesq equations for shallow-water waves into a set of coupled Korteweg–de Vries equations
• On the hamiltonian theory of surface waves
• Stable model equations for long water waves
• On Hamilton's principle for surface waves
• On the Korteweg—de Vries equation for a gradually varying channel
• A variational principle for a fluid with a free surface
• Variational methods and applications to water waves
• Long waves on a beach
• The solitary wave in water of variable depth
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