Variational derivation of improved KP-type of equations

DOI10.1016/J.PHYSLETA.2009.11.016zbMath1235.76012OpenAlexW2110275469MaRDI QIDQ763837

She Liam Lie, Embrecht W. C. Van Groesen

Publication date: 2 April 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.11.016

zbMATH Keywords

Hamiltonian structuresurface water wavesAB-equationexact dispersionKP-equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Cites Work

• Unnamed Item
• Variational derivation of KdV-type models for surface water waves
• Hamiltonian long-wave approximations of water waves with constant vorticity
• On the hamiltonian theory of surface waves
• A Modern Introduction to the Mathematical Theory of Water Waves
• Particle trajectories in solitary water waves
• A variational principle for a fluid with a free surface

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